10057608000 has 1120 divisors, whose sum is σ = 43495740288. Its totient is φ = 2267136000.

The previous prime is 10057607971. The next prime is 10057608007. The reversal of 10057608000 is 80675001.

10057608000 is a `hidden beast` number, since 1 + 0 + 0 + 57 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057608007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121175959 + ... + 121176041.

Almost surely, 2^10057608000 is an apocalyptic number.

10057608000 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 10057608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747870144).

10057608000 is an abundant number, since it is smaller than the sum of its proper divisors (33438132288).

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

10057608000 is a wasteful number, since it uses less digits than its factorization.

10057608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

It can be divided in two parts, 100 and 57608000, that added together give a square (57608100 = 7590²).

The spelling of 10057608000 in words is "ten billion, fifty-seven million, six hundred eight thousand".