56222478120960 has 1152 divisors, whose sum is σ = 215416236672000. Its totient is φ = 14022849724416.

The previous prime is 56222478120959. The next prime is 56222478120961. The reversal of 56222478120960 is 6902187422265.

56222478120960 is a `hidden beast` number, since 5 + 62 + 2 + 2 + 478 + 1 + 20 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56222478120959) and next prime (56222478120961).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 56222478120897 and 56222478120906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56222478120961) 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, 3734960794 + ... + 3734975846.

It is an arithmetic number, because the mean of its divisors is an integer number (186993261000).

Almost surely, 2^{56222478120960} 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 56222478120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107708118336000).

56222478120960 is an abundant number, since it is smaller than the sum of its proper divisors (159193758551040).

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

56222478120960 is a wasteful number, since it uses less digits than its factorization.

56222478120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15193 (or 15161 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56222478120960 in words is "fifty-six trillion, two hundred twenty-two billion, four hundred seventy-eight million, one hundred twenty thousand, nine hundred sixty".