56042496000 has 448 divisors, whose sum is σ = 207322277760. Its totient is φ = 14937292800.

The previous prime is 56042495989. The next prime is 56042496001. The reversal of 56042496000 is 69424065.

56042496000 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 2 + 49 + 600 + 0 = 666.

It is a super-2 number, since 2×56042496000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56042496001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27646987 + ... + 27649013.

Almost surely, 2^56042496000 is an apocalyptic number.

56042496000 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 56042496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103661138880).

56042496000 is an abundant number, since it is smaller than the sum of its proper divisors (151279781760).

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

56042496000 is an equidigital number, since it uses as much as digits as its factorization.

56042496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56042496000 in words is "fifty-six billion, forty-two million, four hundred ninety-six thousand".