56188193645760 has 448 divisors, whose sum is σ = 203867422331904. Its totient is φ = 12978434867200.

The previous prime is 56188193645747. The next prime is 56188193645821. The reversal of 56188193645760 is 6754639188165.

It is a super-2 number, since 2×56188193645760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61970080 + ... + 62870240.

Almost surely, 2^{56188193645760} 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 56188193645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101933711165952).

56188193645760 is an abundant number, since it is smaller than the sum of its proper divisors (147679228686144).

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

56188193645760 is a wasteful number, since it uses less digits than its factorization.

56188193645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900472 (or 900462 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 56188193645760 in words is "fifty-six trillion, one hundred eighty-eight billion, one hundred ninety-three million, six hundred forty-five thousand, seven hundred sixty".