10122832896 has 264 divisors, whose sum is σ = 30043442352. Its totient is φ = 3027763200.

The previous prime is 10122832877. The next prime is 10122832897. The reversal of 10122832896 is 69823822101.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (10122832897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42003336 + ... + 42003576.

It is an arithmetic number, because the mean of its divisors is an integer number (113800918).

Almost surely, 2^10122832896 is an apocalyptic number.

10122832896 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 10122832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021721176).

10122832896 is an abundant number, since it is smaller than the sum of its proper divisors (19920609456).

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

10122832896 is a wasteful number, since it uses less digits than its factorization.

10122832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 10122832896 in words is "ten billion, one hundred twenty-two million, eight hundred thirty-two thousand, eight hundred ninety-six".