55408953600 has 1944 divisors, whose sum is σ = 274836534336. Its totient is φ = 10285056000.

The previous prime is 55408953583. The next prime is 55408953659. The reversal of 55408953600 is 635980455.

55408953600 is a `hidden beast` number, since 554 + 0 + 8 + 95 + 3 + 6 + 0 + 0 = 666.

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

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 215 ways as a sum of consecutive naturals, for example, 1787385585 + ... + 1787385615.

Almost surely, 2^55408953600 is an apocalyptic number.

55408953600 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 55408953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137418267168).

55408953600 is an abundant number, since it is smaller than the sum of its proper divisors (219427580736).

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

55408953600 is a wasteful number, since it uses less digits than its factorization.

55408953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55408953600 in words is "fifty-five billion, four hundred eight million, nine hundred fifty-three thousand, six hundred".