55875261431808 has 2280 divisors, whose sum is σ = 222341065409232. Its totient is φ = 13869489586176.

The previous prime is 55875261431779. The next prime is 55875261431849. The reversal of 55875261431808 is 80813416257855.

It is a happy number.

55875261431808 is a `hidden beast` number, since 5 + 5 + 8 + 7 + 5 + 2 + 614 + 3 + 1 + 8 + 0 + 8 = 666.

It is a super-3 number, since 3×55875261431808³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3286780084216 + ... + 3286780084232.

Almost surely, 2^{55875261431808} 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 55875261431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111170532704616).

55875261431808 is an abundant number, since it is smaller than the sum of its proper divisors (166465803977424).

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

55875261431808 is an frugal number, since it uses more digits than its factorization.

55875261431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 55875261431808 in words is "fifty-five trillion, eight hundred seventy-five billion, two hundred sixty-one million, four hundred thirty-one thousand, eight hundred eight".