57668025600 has 864 divisors, whose sum is σ = 228019155840. Its totient is φ = 14208860160.

The previous prime is 57668025593. The next prime is 57668025629. The reversal of 57668025600 is 652086675.

57668025600 is a `hidden beast` number, since 5 + 7 + 6 + 6 + 80 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 196819054 + ... + 196819346.

It is an arithmetic number, because the mean of its divisors is an integer number (263911060).

Almost surely, 2^57668025600 is an apocalyptic number.

57668025600 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 57668025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114009577920).

57668025600 is an abundant number, since it is smaller than the sum of its proper divisors (170351130240).

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

57668025600 is a wasteful number, since it uses less digits than its factorization.

57668025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 57668025600 in words is "fifty-seven billion, six hundred sixty-eight million, twenty-five thousand, six hundred".