56199241662564 has 576 divisors, whose sum is σ = 189333203189760. Its totient is φ = 12732882785280.

The previous prime is 56199241662563. The next prime is 56199241662649. The reversal of 56199241662564 is 46526614299165.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 56199241662495 and 56199241662504.

It is not an unprimeable number, because it can be changed into a prime (56199241662563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114361309 + ... + 114851675.

It is an arithmetic number, because the mean of its divisors is an integer number (328703477760).

Almost surely, 2^{56199241662564} 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 56199241662564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94666601594880).

56199241662564 is an abundant number, since it is smaller than the sum of its proper divisors (133133961527196).

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

56199241662564 is a wasteful number, since it uses less digits than its factorization.

56199241662564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490488 (or 490479 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 66.

The spelling of 56199241662564 in words is "fifty-six trillion, one hundred ninety-nine billion, two hundred forty-one million, six hundred sixty-two thousand, five hundred sixty-four".