57396975782400 has 720 divisors, whose sum is σ = 208404367362048. Its totient is φ = 15084195840000.

The previous prime is 57396975782387. The next prime is 57396975782437. The reversal of 57396975782400 is 428757969375.

57396975782400 is a `hidden beast` number, since 5 + 7 + 3 + 9 + 6 + 9 + 7 + 578 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2209177410 + ... + 2209203390.

Almost surely, 2^{57396975782400} is an apocalyptic number.

57396975782400 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 57396975782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104202183681024).

57396975782400 is an abundant number, since it is smaller than the sum of its proper divisors (151007391579648).

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

57396975782400 is a wasteful number, since it uses less digits than its factorization.

57396975782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26293 (or 26269 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 57396975782400 in words is "fifty-seven trillion, three hundred ninety-six billion, nine hundred seventy-five million, seven hundred eighty-two thousand, four hundred".