57390067200 has 240 divisors, whose sum is σ = 190985834160. Its totient is φ = 15190917120.

The previous prime is 57390067181. The next prime is 57390067201. The reversal of 57390067200 is 276009375.

57390067200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57390067201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5255346 + ... + 5266254.

It is an arithmetic number, because the mean of its divisors is an integer number (795774309).

Almost surely, 2^57390067200 is an apocalyptic number.

57390067200 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 57390067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95492917080).

57390067200 is an abundant number, since it is smaller than the sum of its proper divisors (133595766960).

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

57390067200 is a wasteful number, since it uses less digits than its factorization.

57390067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077 (or 11056 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 57390067200 in words is "fifty-seven billion, three hundred ninety million, sixty-seven thousand, two hundred".