57870993196800 has 2592 divisors, whose sum is σ = 271217993715200. Its totient is φ = 11792964648960.

The previous prime is 57870993196763. The next prime is 57870993196801. The reversal of 57870993196800 is 869139907875.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57870993196801) 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 287 ways as a sum of consecutive naturals, for example, 6641909244 + ... + 6641917956.

Almost surely, 2^{57870993196800} is an apocalyptic number.

57870993196800 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 57870993196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135608996857600).

57870993196800 is an abundant number, since it is smaller than the sum of its proper divisors (213347000518400).

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

57870993196800 is a wasteful number, since it uses less digits than its factorization.

57870993196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 57870993196800 in words is "fifty-seven trillion, eight hundred seventy billion, nine hundred ninety-three million, one hundred ninety-six thousand, eight hundred".