56791203840000 has 2400 divisors, whose sum is σ = 246467302092000. Its totient is φ = 12881756160000.

The previous prime is 56791203839941. The next prime is 56791203840013. The reversal of 56791203840000 is 4830219765.

56791203840000 is a `hidden beast` number, since 56 + 79 + 120 + 3 + 8 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 433520639935 + ... + 433520640065.

It is an arithmetic number, because the mean of its divisors is an integer number (102694709205).

It is a 1-persistent number, because it is pandigital, but 2⋅56791203840000 = 113582407680000 is not.

Almost surely, 2^{56791203840000} is an apocalyptic number.

56791203840000 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 56791203840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123233651046000).

56791203840000 is an abundant number, since it is smaller than the sum of its proper divisors (189676098252000).

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

56791203840000 is an frugal number, since it uses more digits than its factorization.

56791203840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 56791203840000 in words is "fifty-six trillion, seven hundred ninety-one billion, two hundred three million, eight hundred forty thousand".