57554993599488 has 2376 divisors, whose sum is σ = 220704589961856. Its totient is φ = 14383843246080.

The previous prime is 57554993599483. The next prime is 57554993599501. The reversal of 57554993599488 is 88499539945575.

57554993599488 is a `hidden beast` number, since 5 + 7 + 5 + 5 + 4 + 9 + 9 + 3 + 599 + 4 + 8 + 8 = 666.

Its product of digits (88179840000) is a multiple of the sum of its prime divisors (450).

It is a junction number, because it is equal to n+sod(n) for n = 57554993599398 and 57554993599407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57554993599483) 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 215 ways as a sum of consecutive naturals, for example, 187475549031 + ... + 187475549337.

Almost surely, 2^{57554993599488} 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 57554993599488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110352294980928).

57554993599488 is an abundant number, since it is smaller than the sum of its proper divisors (163149596362368).

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

57554993599488 is a wasteful number, since it uses less digits than its factorization.

57554993599488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 450 counting only the distinct ones).

The product of its digits is 88179840000, while the sum is 90.

The spelling of 57554993599488 in words is "fifty-seven trillion, five hundred fifty-four billion, nine hundred ninety-three million, five hundred ninety-nine thousand, four hundred eighty-eight".