56011076064000 has 864 divisors, whose sum is σ = 209366631714240. Its totient is φ = 14360887296000.

The previous prime is 56011076063983. The next prime is 56011076064001. The reversal of 56011076064000 is 46067011065.

56011076064000 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 1 + 0 + 7 + 6 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56011076064001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2012818087 + ... + 2012845913.

It is an arithmetic number, because the mean of its divisors is an integer number (242322490410).

Almost surely, 2^{56011076064000} is an apocalyptic number.

56011076064000 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 56011076064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104683315857120).

56011076064000 is an abundant number, since it is smaller than the sum of its proper divisors (153355555650240).

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

56011076064000 is a wasteful number, since it uses less digits than its factorization.

56011076064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28134 (or 28107 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 56011076064000 in words is "fifty-six trillion, eleven billion, seventy-six million, sixty-four thousand".