56172105600 has 384 divisors, whose sum is σ = 199843459200. Its totient is φ = 13785784320.

The previous prime is 56172105559. The next prime is 56172105641. The reversal of 56172105600 is 650127165.

It is an interprime number because it is at equal distance from previous prime (56172105559) and next prime (56172105641).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82242859 + ... + 82243541.

It is an arithmetic number, because the mean of its divisors is an integer number (520425675).

Almost surely, 2^56172105600 is an apocalyptic number.

56172105600 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 56172105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99921729600).

56172105600 is an abundant number, since it is smaller than the sum of its proper divisors (143671353600).

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

56172105600 is a wasteful number, since it uses less digits than its factorization.

56172105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 56172105600 in words is "fifty-six billion, one hundred seventy-two million, one hundred five thousand, six hundred".