10007619056 has 80 divisors (see below), whose sum is σ = 20583236160. Its totient is φ = 4703846400.

The previous prime is 10007619043. The next prime is 10007619091. The reversal of 10007619056 is 65091670001.

It is a super-2 number, since 2×10007619056² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10772000 + ... + 10772928.

It is an arithmetic number, because the mean of its divisors is an integer number (257290452).

Almost surely, 2^10007619056 is an apocalyptic number.

10007619056 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 10007619056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291618080).

10007619056 is an abundant number, since it is smaller than the sum of its proper divisors (10575617104).

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

10007619056 is a wasteful number, since it uses less digits than its factorization.

10007619056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 10007619056 in words is "ten billion, seven million, six hundred nineteen thousand, fifty-six".