56122288560 has 240 divisors, whose sum is σ = 210494173344. Its totient is φ = 13814654976.

The previous prime is 56122288553. The next prime is 56122288561. The reversal of 56122288560 is 6588222165.

It is a happy number.

56122288560 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 2 + 2 + 88 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×56122288560² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56122288561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141684 + ... + 363756.

Almost surely, 2^56122288560 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 56122288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105247086672).

56122288560 is an abundant number, since it is smaller than the sum of its proper divisors (154371884784).

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

56122288560 is a wasteful number, since it uses less digits than its factorization.

56122288560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222114 (or 222096 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 56122288560 in words is "fifty-six billion, one hundred twenty-two million, two hundred eighty-eight thousand, five hundred sixty".