557976335616 has 864 divisors, whose sum is σ = 1971344793600. Its totient is φ = 154112606208.

The previous prime is 557976335591. The next prime is 557976335731. The reversal of 557976335616 is 616533679755.

557976335616 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 7 + 6 + 3 + 3 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×557976335616² (a number of 24 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2803901085 + ... + 2803901283.

Almost surely, 2^557976335616 is an apocalyptic number.

557976335616 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 557976335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985672396800).

557976335616 is an abundant number, since it is smaller than the sum of its proper divisors (1413368457984).

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

557976335616 is a wasteful number, since it uses less digits than its factorization.

557976335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its digits is 107163000, while the sum is 63.

The spelling of 557976335616 in words is "five hundred fifty-seven billion, nine hundred seventy-six million, three hundred thirty-five thousand, six hundred sixteen".