57205942547600 has 240 divisors, whose sum is σ = 171581059537920. Its totient is φ = 17806418649600.

The previous prime is 57205942547587. The next prime is 57205942547647. The reversal of 57205942547600 is 674524950275.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21634511 + ... + 24134289.

It is an arithmetic number, because the mean of its divisors is an integer number (714921081408).

Almost surely, 2^{57205942547600} is an apocalyptic number.

57205942547600 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 57205942547600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85790529768960).

57205942547600 is an abundant number, since it is smaller than the sum of its proper divisors (114375116990320).

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

57205942547600 is a wasteful number, since it uses less digits than its factorization.

57205942547600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500558 (or 2500547 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 56.

The spelling of 57205942547600 in words is "fifty-seven trillion, two hundred five billion, nine hundred forty-two million, five hundred forty-seven thousand, six hundred".