57128342558400 has 1344 divisors, whose sum is σ = 219102886517760. Its totient is φ = 14452162560000.

The previous prime is 57128342558369. The next prime is 57128342558453. The reversal of 57128342558400 is 485524382175.

It is a happy number.

57128342558400 is a `hidden beast` number, since 5 + 7 + 1 + 2 + 8 + 3 + 42 + 558 + 40 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 99009258912 + ... + 99009259488.

It is an arithmetic number, because the mean of its divisors is an integer number (163022981040).

Almost surely, 2^{57128342558400} is an apocalyptic number.

57128342558400 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 57128342558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109551443258880).

57128342558400 is an abundant number, since it is smaller than the sum of its proper divisors (161974543959360).

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

57128342558400 is a wasteful number, since it uses less digits than its factorization.

57128342558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 57128342558400 in words is "fifty-seven trillion, one hundred twenty-eight billion, three hundred forty-two million, five hundred fifty-eight thousand, four hundred".