57173720400 has 420 divisors, whose sum is σ = 213078666780. Its totient is φ = 14718412800.

The previous prime is 57173720399. The next prime is 57173720441. The reversal of 57173720400 is 402737175.

It can be written as a sum of positive squares in 6 ways, for example, as 50808384 + 57122912016 = 7128^2 + 239004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8453020 + ... + 8459780.

It is an arithmetic number, because the mean of its divisors is an integer number (507330159).

Almost surely, 2^57173720400 is an apocalyptic number.

57173720400 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 57173720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106539333390).

57173720400 is an abundant number, since it is smaller than the sum of its proper divisors (155904946380).

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

57173720400 is a wasteful number, since it uses less digits than its factorization.

57173720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 57173720400 in words is "fifty-seven billion, one hundred seventy-three million, seven hundred twenty thousand, four hundred".