35705897832990 has 384 divisors, whose sum is σ = 112524194304000. Its totient is φ = 7161848279040.

The previous prime is 35705897832959. The next prime is 35705897832991. The reversal of 35705897832990 is 9923879850753.

35705897832990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35705897832990² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35705897832991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3024123667 + ... + 3024135473.

It is an arithmetic number, because the mean of its divisors is an integer number (293031756000).

Almost surely, 2^{35705897832990} is an apocalyptic number.

35705897832990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35705897832990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56262097152000).

35705897832990 is an abundant number, since it is smaller than the sum of its proper divisors (76818296471010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35705897832990 is a wasteful number, since it uses less digits than its factorization.

35705897832990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18320 (or 18313 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 75.

The spelling of 35705897832990 in words is "thirty-five trillion, seven hundred five billion, eight hundred ninety-seven million, eight hundred thirty-two thousand, nine hundred ninety".