10079625873600 has 1680 divisors, whose sum is σ = 39690420650496. Its totient is φ = 2503581696000.

The previous prime is 10079625873587. The next prime is 10079625873659. The reversal of 10079625873600 is 637852697001.

10079625873600 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 6 + 25 + 8 + 7 + 3 + 600 = 666.

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 239 ways as a sum of consecutive naturals, for example, 20528769355 + ... + 20528769845.

Almost surely, 2^{10079625873600} is an apocalyptic number.

10079625873600 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 10079625873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19845210325248).

10079625873600 is an abundant number, since it is smaller than the sum of its proper divisors (29610794776896).

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

10079625873600 is a wasteful number, since it uses less digits than its factorization.

10079625873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10079625873600 in words is "ten trillion, seventy-nine billion, six hundred twenty-five million, eight hundred seventy-three thousand, six hundred".