56000800407552 has 3840 divisors, whose sum is σ = 230123767136256. Its totient is φ = 11626610688000.

The previous prime is 56000800407523. The next prime is 56000800407557. The reversal of 56000800407552 is 25570400800065.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (56000800407557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 788743667677 + ... + 788743667747.

Almost surely, 2^{56000800407552} is an apocalyptic number.

56000800407552 is a gapful number since it is divisible by the number (52) 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 56000800407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115061883568128).

56000800407552 is an abundant number, since it is smaller than the sum of its proper divisors (174122966728704).

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

56000800407552 is a wasteful number, since it uses less digits than its factorization.

56000800407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 56000800407552 in words is "fifty-six trillion, eight hundred million, four hundred seven thousand, five hundred fifty-two".