55008180864 has 480 divisors, whose sum is σ = 205103675700. Its totient is φ = 14505910272.

The previous prime is 55008180863. The next prime is 55008180949. The reversal of 55008180864 is 46808180055.

55008180864 is a `hidden beast` number, since 5 + 500 + 8 + 1 + 80 + 8 + 64 = 666.

55008180864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46314483264 + 8693697600 = 215208^2 + 93240^2 .

It is not an unprimeable number, because it can be changed into a prime (55008180863) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6600252 + ... + 6608580.

Almost surely, 2^55008180864 is an apocalyptic number.

55008180864 is a gapful number since it is divisible by the number (54) 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 55008180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102551837850).

55008180864 is an abundant number, since it is smaller than the sum of its proper divisors (150095494836).

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

55008180864 is a wasteful number, since it uses less digits than its factorization.

55008180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 55008180864 in words is "fifty-five billion, eight million, one hundred eighty thousand, eight hundred sixty-four".