57490848576 has 672 divisors, whose sum is σ = 209400526080. Its totient is φ = 15387660288.

The previous prime is 57490848559. The next prime is 57490848601. The reversal of 57490848576 is 67584809475.

57490848576 is a `hidden beast` number, since 57 + 4 + 9 + 0 + 8 + 4 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×57490848576² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 103214890 + ... + 103215446.

Almost surely, 2^57490848576 is an apocalyptic number.

57490848576 is a gapful number since it is divisible by the number (56) 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 57490848576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104700263040).

57490848576 is an abundant number, since it is smaller than the sum of its proper divisors (151909677504).

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

57490848576 is a wasteful number, since it uses less digits than its factorization.

57490848576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 57490848576 in words is "fifty-seven billion, four hundred ninety million, eight hundred forty-eight thousand, five hundred seventy-six".