55530607104 has 480 divisors, whose sum is σ = 194003029440. Its totient is φ = 15634612224.

The previous prime is 55530607063. The next prime is 55530607157. The reversal of 55530607104 is 40170603555.

55530607104 is a `hidden beast` number, since 5 + 5 + 5 + 30 + 607 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49447887 + ... + 49449009.

It is an arithmetic number, because the mean of its divisors is an integer number (404172978).

Almost surely, 2^55530607104 is an apocalyptic number.

55530607104 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 55530607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97001514720).

55530607104 is an abundant number, since it is smaller than the sum of its proper divisors (138472422336).

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

55530607104 is a wasteful number, since it uses less digits than its factorization.

55530607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

It can be divided in two parts, 5553060 and 7104, that added together give a square (5560164 = 2358²).

The spelling of 55530607104 in words is "fifty-five billion, five hundred thirty million, six hundred seven thousand, one hundred four".