57477745188864 has 4032 divisors, whose sum is σ = 243041575375872. Its totient is φ = 12842119987200.

The previous prime is 57477745188847. The next prime is 57477745188881. The reversal of 57477745188864 is 46888154777475.

57477745188864 is a `hidden beast` number, since 5 + 7 + 4 + 7 + 7 + 7 + 451 + 88 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57477745188847) and next prime (57477745188881).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×57477745188864² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 592554074064 + ... + 592554074160.

It is an arithmetic number, because the mean of its divisors is an integer number (60278168496).

Almost surely, 2^{57477745188864} 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 57477745188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121520787687936).

57477745188864 is an abundant number, since it is smaller than the sum of its proper divisors (185563830187008).

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

57477745188864 is a wasteful number, since it uses less digits than its factorization.

57477745188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 201 counting only the distinct ones).

The product of its digits is 11801395200, while the sum is 81.

The spelling of 57477745188864 in words is "fifty-seven trillion, four hundred seventy-seven billion, seven hundred forty-five million, one hundred eighty-eight thousand, eight hundred sixty-four".