56330176645600 has 576 divisors, whose sum is σ = 162242335825920. Its totient is φ = 18828057600000.

The previous prime is 56330176645571. The next prime is 56330176645651. The reversal of 56330176645600 is 654667103365.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 48940205025 + ... + 48940206175.

It is an arithmetic number, because the mean of its divisors is an integer number (281670721920).

Almost surely, 2^{56330176645600} is an apocalyptic number.

56330176645600 is a gapful number since it is divisible by the number (50) 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 56330176645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81121167912960).

56330176645600 is an abundant number, since it is smaller than the sum of its proper divisors (105912159180320).

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

56330176645600 is a wasteful number, since it uses less digits than its factorization.

56330176645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 56330176645600 in words is "fifty-six trillion, three hundred thirty billion, one hundred seventy-six million, six hundred forty-five thousand, six hundred".