57195072000 has 1600 divisors, whose sum is σ = 250259518080. Its totient is φ = 12828672000.

The previous prime is 57195071977. The next prime is 57195072007. The reversal of 57195072000 is 27059175.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×57195072000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57195072007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 969407971 + ... + 969408029.

Almost surely, 2^57195072000 is an apocalyptic number.

57195072000 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 57195072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125129759040).

57195072000 is an abundant number, since it is smaller than the sum of its proper divisors (193064446080).

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

57195072000 is a wasteful number, since it uses less digits than its factorization.

57195072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 57195072000 in words is "fifty-seven billion, one hundred ninety-five million, seventy-two thousand".