56115348480 has 1056 divisors, whose sum is σ = 220170472704. Its totient is φ = 13663862784.

The previous prime is 56115348451. The next prime is 56115348481. The reversal of 56115348480 is 8484351165.

56115348480 is a `hidden beast` number, since 56 + 115 + 3 + 4 + 8 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56115348481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1058780134 + ... + 1058780186.

Almost surely, 2^56115348480 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 56115348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110085236352).

56115348480 is an abundant number, since it is smaller than the sum of its proper divisors (164055124224).

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

56115348480 is a wasteful number, since it uses less digits than its factorization.

56115348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

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

The spelling of 56115348480 in words is "fifty-six billion, one hundred fifteen million, three hundred forty-eight thousand, four hundred eighty".