56124492480 has 336 divisors, whose sum is σ = 221604352320. Its totient is φ = 12771385344.

The previous prime is 56124492433. The next prime is 56124492481. The reversal of 56124492480 is 8429442165.

It is a happy number.

56124492480 is a `hidden beast` number, since 5 + 6 + 124 + 49 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×56124492480² (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 (56124492481) 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, 4610562 + ... + 4622718.

Almost surely, 2^56124492480 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 56124492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110802176160).

56124492480 is an abundant number, since it is smaller than the sum of its proper divisors (165479859840).

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

56124492480 is a wasteful number, since it uses less digits than its factorization.

56124492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12416 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56124492480 in words is "fifty-six billion, one hundred twenty-four million, four hundred ninety-two thousand, four hundred eighty".