10845938880 has 840 divisors, whose sum is σ = 46500787872. Its totient is φ = 2350301184.

The previous prime is 10845938849. The next prime is 10845938893. The reversal of 10845938880 is 8883954801.

10845938880 is a `hidden beast` number, since 108 + 459 + 3 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95981704 + ... + 95981816.

Almost surely, 2^10845938880 is an apocalyptic number.

10845938880 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 10845938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23250393936).

10845938880 is an abundant number, since it is smaller than the sum of its proper divisors (35654848992).

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

10845938880 is a wasteful number, since it uses less digits than its factorization.

10845938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 10845938880 in words is "ten billion, eight hundred forty-five million, nine hundred thirty-eight thousand, eight hundred eighty".