10901138976 has 576 divisors, whose sum is σ = 41264899200. Its totient is φ = 2771822592.

The previous prime is 10901138971. The next prime is 10901138981. The reversal of 10901138976 is 67983110901.

It is an interprime number because it is at equal distance from previous prime (10901138971) and next prime (10901138981).

It is not an unprimeable number, because it can be changed into a prime (10901138971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15960331 + ... + 15961013.

It is an arithmetic number, because the mean of its divisors is an integer number (71640450).

Almost surely, 2^10901138976 is an apocalyptic number.

10901138976 is a gapful number since it is divisible by the number (16) 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 10901138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632449600).

10901138976 is an abundant number, since it is smaller than the sum of its proper divisors (30363760224).

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

10901138976 is a wasteful number, since it uses less digits than its factorization.

10901138976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 10901138976 in words is "ten billion, nine hundred one million, one hundred thirty-eight thousand, nine hundred seventy-six".