55406937600 has 960 divisors, whose sum is σ = 239090649600. Its totient is φ = 12302254080.

The previous prime is 55406937589. The next prime is 55406937623. The reversal of 55406937600 is 673960455.

55406937600 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 6 + 9 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89510091 + ... + 89510709.

It is an arithmetic number, because the mean of its divisors is an integer number (249052760).

Almost surely, 2^55406937600 is an apocalyptic number.

55406937600 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 55406937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119545324800).

55406937600 is an abundant number, since it is smaller than the sum of its proper divisors (183683712000).

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

55406937600 is a wasteful number, since it uses less digits than its factorization.

55406937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55406937600 in words is "fifty-five billion, four hundred six million, nine hundred thirty-seven thousand, six hundred".