55908129600 has 252 divisors, whose sum is σ = 198994798860. Its totient is φ = 14887526400.

The previous prime is 55908129593. The next prime is 55908129637. The reversal of 55908129600 is 692180955.

55908129600 is a `hidden beast` number, since 559 + 0 + 8 + 1 + 2 + 96 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 236449²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 16808603904 + 39099525696 = 129648^2 + 197736^2 .

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 35 ways as a sum of consecutive naturals, for example, 11820036 + ... + 11824764.

Almost surely, 2^55908129600 is an apocalyptic number.

55908129600 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 55908129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99497399430).

55908129600 is an abundant number, since it is smaller than the sum of its proper divisors (143086669260).

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

55908129600 is a wasteful number, since it uses less digits than its factorization.

55908129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 55908129600 in words is "fifty-five billion, nine hundred eight million, one hundred twenty-nine thousand, six hundred".