56148724800 has 336 divisors, whose sum is σ = 233924571520. Its totient is φ = 12833925120.

The previous prime is 56148724787. The next prime is 56148724829. The reversal of 56148724800 is 842784165.

56148724800 is a `hidden beast` number, since 5 + 61 + 48 + 72 + 480 + 0 = 666.

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

It is a super-2 number, since 2×56148724800² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209562 + ... + 395238.

Almost surely, 2^56148724800 is an apocalyptic number.

56148724800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56148724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116962285760).

56148724800 is an abundant number, since it is smaller than the sum of its proper divisors (177775846720).

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

56148724800 is a wasteful number, since it uses less digits than its factorization.

56148724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185715 (or 185694 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 56148724800 in words is "fifty-six billion, one hundred forty-eight million, seven hundred twenty-four thousand, eight hundred".