57006185664 has 224 divisors, whose sum is σ = 157641682176. Its totient is φ = 18166579200.

The previous prime is 57006185657. The next prime is 57006185701. The reversal of 57006185664 is 46658160075.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142159864 + ... + 142160264.

Almost surely, 2^57006185664 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 57006185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78820841088).

57006185664 is an abundant number, since it is smaller than the sum of its proper divisors (100635496512).

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

57006185664 is a wasteful number, since it uses less digits than its factorization.

57006185664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 57006185664 in words is "fifty-seven billion, six million, one hundred eighty-five thousand, six hundred sixty-four".