55682616600 has 576 divisors, whose sum is σ = 208376663040. Its totient is φ = 13237862400.

The previous prime is 55682616557. The next prime is 55682616721. The reversal of 55682616600 is 661628655.

It is a happy number.

55682616600 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 26 + 16 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121843572 + ... + 121844028.

It is an arithmetic number, because the mean of its divisors is an integer number (361765040).

Almost surely, 2^55682616600 is an apocalyptic number.

55682616600 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 55682616600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104188331520).

55682616600 is an abundant number, since it is smaller than the sum of its proper divisors (152694046440).

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

55682616600 is a wasteful number, since it uses less digits than its factorization.

55682616600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 55682616600 in words is "fifty-five billion, six hundred eighty-two million, six hundred sixteen thousand, six hundred".