57901016678400 has 2880 divisors, whose sum is σ = 255573798480000. Its totient is φ = 12984810209280.

The previous prime is 57901016678317. The next prime is 57901016678509. The reversal of 57901016678400 is 487661010975.

57901016678400 is a `hidden beast` number, since 5 + 7 + 9 + 0 + 1 + 0 + 166 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1092472012774 + ... + 1092472012826.

It is an arithmetic number, because the mean of its divisors is an integer number (88740902250).

Almost surely, 2^{57901016678400} is an apocalyptic number.

57901016678400 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 57901016678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127786899240000).

57901016678400 is an abundant number, since it is smaller than the sum of its proper divisors (197672781801600).

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

57901016678400 is an frugal number, since it uses more digits than its factorization.

57901016678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 57901016678400 in words is "fifty-seven trillion, nine hundred one billion, sixteen million, six hundred seventy-eight thousand, four hundred".