57694800223008 has 960 divisors, whose sum is σ = 195465990222720. Its totient is φ = 16496733487104.

The previous prime is 57694800222937. The next prime is 57694800223019. The reversal of 57694800223008 is 80032200849675.

57694800223008 is a `hidden beast` number, since 57 + 69 + 480 + 0 + 22 + 30 + 0 + 8 = 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 159 ways as a sum of consecutive naturals, for example, 34818828516 + ... + 34818830172.

It is an arithmetic number, because the mean of its divisors is an integer number (203610406482).

Almost surely, 2^{57694800223008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57694800223008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97732995111360).

57694800223008 is an abundant number, since it is smaller than the sum of its proper divisors (137771189999712).

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

57694800223008 is a wasteful number, since it uses less digits than its factorization.

57694800223008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 57694800223008 in words is "fifty-seven trillion, six hundred ninety-four billion, eight hundred million, two hundred twenty-three thousand, eight".