557464910929920 has 3584 divisors, whose sum is σ = 2416617168076800. Its totient is φ = 119184386162688.

The previous prime is 557464910929873. The next prime is 557464910929931. The reversal of 557464910929920 is 29929019464755.

557464910929920 is a `hidden beast` number, since 5 + 5 + 7 + 46 + 491 + 0 + 9 + 2 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-3 number, since 3×557464910929920³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2072360263546 + ... + 2072360263814.

Almost surely, 2^{557464910929920} 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 557464910929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208308584038400).

557464910929920 is an abundant number, since it is smaller than the sum of its proper divisors (1859152257146880).

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

557464910929920 is a wasteful number, since it uses less digits than its factorization.

557464910929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 557464910929920 in words is "five hundred fifty-seven trillion, four hundred sixty-four billion, nine hundred ten million, nine hundred twenty-nine thousand, nine hundred twenty".