57399372900 has 288 divisors, whose sum is σ = 196059951360. Its totient is φ = 14356224000.

The previous prime is 57399372889. The next prime is 57399372929. The reversal of 57399372900 is 927399375.

57399372900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14272890 + ... + 14276910.

It is an arithmetic number, because the mean of its divisors is an integer number (680763720).

Almost surely, 2^57399372900 is an apocalyptic number.

57399372900 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 57399372900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98029975680).

57399372900 is an abundant number, since it is smaller than the sum of its proper divisors (138660578460).

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

57399372900 is a wasteful number, since it uses less digits than its factorization.

57399372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 54.

The spelling of 57399372900 in words is "fifty-seven billion, three hundred ninety-nine million, three hundred seventy-two thousand, nine hundred".