56086732800000 has 3672 divisors, whose sum is σ = 254933162108352. Its totient is φ = 12262440960000.

The previous prime is 56086732799971. The next prime is 56086732800011. The reversal of 56086732800000 is 823768065.

56086732800000 is a `hidden beast` number, since 5 + 608 + 6 + 7 + 32 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 2438553599989 + ... + 2438553600011.

Almost surely, 2^{56086732800000} is an apocalyptic number.

56086732800000 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 56086732800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127466581054176).

56086732800000 is an abundant number, since it is smaller than the sum of its proper divisors (198846429308352).

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

56086732800000 is an frugal number, since it uses more digits than its factorization.

56086732800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56086732800000 in words is "fifty-six trillion, eighty-six billion, seven hundred thirty-two million, eight hundred thousand".