56151841965120 has 896 divisors, whose sum is σ = 230458294886400. Its totient is φ = 12719606169600.

The previous prime is 56151841965091. The next prime is 56151841965217. The reversal of 56151841965120 is 2156914815165.

56151841965120 is a `hidden beast` number, since 5 + 6 + 1 + 518 + 41 + 9 + 65 + 1 + 20 = 666.

It is a super-2 number, since 2×56151841965120² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224454505 + ... + 224704535.

It is an arithmetic number, because the mean of its divisors is an integer number (257207918400).

Almost surely, 2^{56151841965120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56151841965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115229147443200).

56151841965120 is an abundant number, since it is smaller than the sum of its proper divisors (174306452921280).

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

56151841965120 is a wasteful number, since it uses less digits than its factorization.

56151841965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250224 (or 250208 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 56151841965120 in words is "fifty-six trillion, one hundred fifty-one billion, eight hundred forty-one million, nine hundred sixty-five thousand, one hundred twenty".