56545827840 has 528 divisors, whose sum is σ = 207724188672. Its totient is φ = 14742798336.

The previous prime is 56545827827. The next prime is 56545827841. The reversal of 56545827840 is 4872854565.

56545827840 is a `hidden beast` number, since 5 + 6 + 54 + 582 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×56545827840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56545827841) 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, 58475037 + ... + 58476003.

It is an arithmetic number, because the mean of its divisors is an integer number (393417024).

Almost surely, 2^56545827840 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 56545827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103862094336).

56545827840 is an abundant number, since it is smaller than the sum of its proper divisors (151178360832).

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

56545827840 is an equidigital number, since it uses as much as digits as its factorization.

56545827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 56545827840 in words is "fifty-six billion, five hundred forty-five million, eight hundred twenty-seven thousand, eight hundred forty".