10056600000 has 504 divisors, whose sum is σ = 37248303456. Its totient is φ = 2592000000.

The previous prime is 10056599933. The next prime is 10056600133. The reversal of 10056600000 is 665001.

10056600000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 660 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10056600000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66599925 + ... + 66600075.

It is an arithmetic number, because the mean of its divisors is an integer number (73905364).

Almost surely, 2^10056600000 is an apocalyptic number.

10056600000 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 10056600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624151728).

10056600000 is an abundant number, since it is smaller than the sum of its proper divisors (27191703456).

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

10056600000 is an equidigital number, since it uses as much as digits as its factorization.

10056600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 10056600000 in words is "ten billion, fifty-six million, six hundred thousand".