56564436307400 has 192 divisors, whose sum is σ = 150840275604480. Its totient is φ = 19323823622400.

The previous prime is 56564436307367. The next prime is 56564436307403. The reversal of 56564436307400 is 470363446565.

56564436307400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56564436307400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56564436307403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371471179 + ... + 1371512421.

It is an arithmetic number, because the mean of its divisors is an integer number (785626435440).

Almost surely, 2^{56564436307400} is an apocalyptic number.

56564436307400 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 56564436307400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75420137802240).

56564436307400 is an abundant number, since it is smaller than the sum of its proper divisors (94275839297080).

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

56564436307400 is a wasteful number, since it uses less digits than its factorization.

56564436307400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44764 (or 44755 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 53.

The spelling of 56564436307400 in words is "fifty-six trillion, five hundred sixty-four billion, four hundred thirty-six million, three hundred seven thousand, four hundred".