55624398480 has 960 divisors, whose sum is σ = 243344424960. Its totient is φ = 11079991296.

The previous prime is 55624398469. The next prime is 55624398521. The reversal of 55624398480 is 8489342655.

55624398480 is a `hidden beast` number, since 5 + 5 + 624 + 3 + 9 + 8 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76511877 + ... + 76512603.

It is an arithmetic number, because the mean of its divisors is an integer number (253483776).

Almost surely, 2^55624398480 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 55624398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121672212480).

55624398480 is an abundant number, since it is smaller than the sum of its proper divisors (187720026480).

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

55624398480 is a wasteful number, since it uses less digits than its factorization.

55624398480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

It can be divided in two parts, 55624398 and 480, that added together give a triangular number (55624878 = T₁₀₅₄₇).

The spelling of 55624398480 in words is "fifty-five billion, six hundred twenty-four million, three hundred ninety-eight thousand, four hundred eighty".