10535274720 has 336 divisors, whose sum is σ = 38244839472. Its totient is φ = 2739640320.

The previous prime is 10535274709. The next prime is 10535274733. The reversal of 10535274720 is 2747253501.

10535274720 is a `hidden beast` number, since 10 + 53 + 527 + 4 + 72 + 0 = 666.

10535274720 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 2×10535274720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4781139 + ... + 4783341.

It is an arithmetic number, because the mean of its divisors is an integer number (113823927).

Almost surely, 2^10535274720 is an apocalyptic number.

10535274720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10535274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122419736).

10535274720 is an abundant number, since it is smaller than the sum of its proper divisors (27709564752).

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

10535274720 is an equidigital number, since it uses as much as digits as its factorization.

10535274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 10535274720 in words is "ten billion, five hundred thirty-five million, two hundred seventy-four thousand, seven hundred twenty".