55382314680 has 1296 divisors, whose sum is σ = 246615085080. Its totient is φ = 11136787200.

The previous prime is 55382314667. The next prime is 55382314717. The reversal of 55382314680 is 8641328355.

55382314680 is a `hidden beast` number, since 5 + 538 + 2 + 31 + 4 + 6 + 80 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1786526265 + ... + 1786526295.

Almost surely, 2^55382314680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55382314680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123307542540).

55382314680 is an abundant number, since it is smaller than the sum of its proper divisors (191232770400).

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

55382314680 is a wasteful number, since it uses less digits than its factorization.

55382314680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55382314680 in words is "fifty-five billion, three hundred eighty-two million, three hundred fourteen thousand, six hundred eighty".