10038082896 has 160 divisors (see below), whose sum is σ = 29553287040. Its totient is φ = 3261081600.

The previous prime is 10038082891. The next prime is 10038082903. The reversal of 10038082896 is 69828083001.

10038082896 is a `hidden beast` number, since 100 + 380 + 82 + 8 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038082891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2976091 + ... + 2979461.

It is an arithmetic number, because the mean of its divisors is an integer number (184708044).

Almost surely, 2^10038082896 is an apocalyptic number.

10038082896 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 10038082896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776643520).

10038082896 is an abundant number, since it is smaller than the sum of its proper divisors (19515204144).

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

10038082896 is a wasteful number, since it uses less digits than its factorization.

10038082896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10038082896 in words is "ten billion, thirty-eight million, eighty-two thousand, eight hundred ninety-six".