57752675340400 has 120 divisors (see below), whose sum is σ = 146072053508480. Its totient is φ = 21882440666880.

The previous prime is 57752675340391. The next prime is 57752675340413. The reversal of 57752675340400 is 404357625775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59765887 + ... + 60724513.

Almost surely, 2^{57752675340400} is an apocalyptic number.

57752675340400 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 57752675340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73036026754240).

57752675340400 is an abundant number, since it is smaller than the sum of its proper divisors (88319378168080).

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

57752675340400 is a wasteful number, since it uses less digits than its factorization.

57752675340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966591 (or 966580 counting only the distinct ones).

The product of its (nonzero) digits is 24696000, while the sum is 55.

The spelling of 57752675340400 in words is "fifty-seven trillion, seven hundred fifty-two billion, six hundred seventy-five million, three hundred forty thousand, four hundred".