57471959994624 has 360 divisors, whose sum is σ = 195876987176640. Its totient is φ = 16418511654912.

The previous prime is 57471959994593. The next prime is 57471959994629. The reversal of 57471959994624 is 42649995917475.

57471959994624 is a `hidden beast` number, since 5 + 7 + 4 + 7 + 19 + 59 + 99 + 462 + 4 = 666.

It is a super-2 number, since 2×57471959994624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (57471959994629) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1461515827 + ... + 1461555149.

Almost surely, 2^{57471959994624} is an apocalyptic number.

57471959994624 is a gapful number since it is divisible by the number (54) 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 57471959994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97938493588320).

57471959994624 is an abundant number, since it is smaller than the sum of its proper divisors (138405027182016).

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

57471959994624 is a wasteful number, since it uses less digits than its factorization.

57471959994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49427 (or 49404 counting only the distinct ones).

The product of its digits is 6172588800, while the sum is 81.

The spelling of 57471959994624 in words is "fifty-seven trillion, four hundred seventy-one billion, nine hundred fifty-nine million, nine hundred ninety-four thousand, six hundred twenty-four".