556993805501952 has 1200 divisors, whose sum is σ = 2087062423205760. Its totient is φ = 146589455351808.

The previous prime is 556993805501929. The next prime is 556993805502083. The reversal of 556993805501952 is 259105508399655.

556993805501952 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 9 + 3 + 8 + 0 + 550 + 19 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12654039048 + ... + 12654083064.

Almost surely, 2^{556993805501952} is an apocalyptic number.

556993805501952 is a gapful number since it is divisible by the number (52) 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 556993805501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043531211602880).

556993805501952 is an abundant number, since it is smaller than the sum of its proper divisors (1530068617703808).

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

556993805501952 is a wasteful number, since it uses less digits than its factorization.

556993805501952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44553 (or 44521 counting only the distinct ones).

The product of its (nonzero) digits is 656100000, while the sum is 72.

The spelling of 556993805501952 in words is "five hundred fifty-six trillion, nine hundred ninety-three billion, eight hundred five million, five hundred one thousand, nine hundred fifty-two".