55106400465824 has 24 divisors (see below), whose sum is σ = 111422907701028. Its totient is φ = 26808519144960.

The previous prime is 55106400465817. The next prime is 55106400465829. The reversal of 55106400465824 is 42856400460155.

55106400465824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54787649889424 + 318750576400 = 7401868^2 + 564580^2 .

It is not an unprimeable number, because it can be changed into a prime (55106400465829) 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 3 ways as a sum of consecutive naturals, for example, 23271282797 + ... + 23271285164.

Almost surely, 2^{55106400465824} is an apocalyptic number.

It is an amenable number.

55106400465824 is an abundant number, since it is smaller than the sum of its proper divisors (56316507235204).

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

55106400465824 is a wasteful number, since it uses less digits than its factorization.

55106400465824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46542568008 (or 46542568000 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 50.

The spelling of 55106400465824 in words is "fifty-five trillion, one hundred six billion, four hundred million, four hundred sixty-five thousand, eight hundred twenty-four".