55668153600 has 324 divisors, whose sum is σ = 203270698176. Its totient is φ = 14528286720.

The previous prime is 55668153557. The next prime is 55668153617. The reversal of 55668153600 is 635186655.

55668153600 is a `hidden beast` number, since 5 + 56 + 68 + 1 + 536 + 0 + 0 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2696919 + ... + 2717481.

Almost surely, 2^55668153600 is an apocalyptic number.

55668153600 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 55668153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101635349088).

55668153600 is an abundant number, since it is smaller than the sum of its proper divisors (147602544576).

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

55668153600 is a wasteful number, since it uses less digits than its factorization.

55668153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642 (or 20620 counting only the distinct ones).

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

The spelling of 55668153600 in words is "fifty-five billion, six hundred sixty-eight million, one hundred fifty-three thousand, six hundred".