55664294400 has 1440 divisors, whose sum is σ = 243799395840. Its totient is φ = 11943936000.

The previous prime is 55664294381. The next prime is 55664294401. The reversal of 55664294400 is 449246655.

55664294400 is a `hidden beast` number, since 5 + 566 + 42 + 9 + 4 + 40 + 0 = 666.

55664294400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55664294401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 510681546 + ... + 510681654.

It is an arithmetic number, because the mean of its divisors is an integer number (169305136).

Almost surely, 2^55664294400 is an apocalyptic number.

55664294400 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 55664294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121899697920).

55664294400 is an abundant number, since it is smaller than the sum of its proper divisors (188135101440).

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

55664294400 is a wasteful number, since it uses less digits than its factorization.

55664294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 55664294400 in words is "fifty-five billion, six hundred sixty-four million, two hundred ninety-four thousand, four hundred".