557854801920 has 1200 divisors, whose sum is σ = 2238054255360. Its totient is φ = 131988455424.

The previous prime is 557854801919. The next prime is 557854802093. The reversal of 557854801920 is 29108458755.

557854801920 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 548 + 0 + 1 + 92 + 0 = 666.

It is a super-2 number, since 2×557854801920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2501590929 + ... + 2501591151.

Almost surely, 2^557854801920 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 557854801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119027127680).

557854801920 is an abundant number, since it is smaller than the sum of its proper divisors (1680199453440).

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

557854801920 is a wasteful number, since it uses less digits than its factorization.

557854801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 557854801920 in words is "five hundred fifty-seven billion, eight hundred fifty-four million, eight hundred one thousand, nine hundred twenty".