56164566334500 has 768 divisors, whose sum is σ = 196880869785600. Its totient is φ = 13742098675200.

The previous prime is 56164566334427. The next prime is 56164566334507. The reversal of 56164566334500 is 543366546165.

56164566334500 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 4 + 566 + 33 + 45 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56164566334507) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34520322687 + ... + 34520324313.

It is an arithmetic number, because the mean of its divisors is an integer number (256355299200).

Almost surely, 2^{56164566334500} is an apocalyptic number.

56164566334500 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 56164566334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98440434892800).

56164566334500 is an abundant number, since it is smaller than the sum of its proper divisors (140716303451100).

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

56164566334500 is a wasteful number, since it uses less digits than its factorization.

56164566334500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 56164566334500 in words is "fifty-six trillion, one hundred sixty-four billion, five hundred sixty-six million, three hundred thirty-four thousand, five hundred".