57164610000 has 200 divisors, whose sum is σ = 185147908704. Its totient is φ = 15193280000.

The previous prime is 57164609981. The next prime is 57164610001. The reversal of 57164610000 is 1646175.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 57164610000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57164610001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9506995 + ... + 9513005.

Almost surely, 2^57164610000 is an apocalyptic number.

57164610000 is a gapful number since it is divisible by the number (50) 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 57164610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92573954352).

57164610000 is an abundant number, since it is smaller than the sum of its proper divisors (127983298704).

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

57164610000 is a wasteful number, since it uses less digits than its factorization.

57164610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 57164610000 in words is "fifty-seven billion, one hundred sixty-four million, six hundred ten thousand".