55239905664 has 320 divisors, whose sum is σ = 175920399600. Its totient is φ = 17154478080.

The previous prime is 55239905647. The next prime is 55239905719. The reversal of 55239905664 is 46650993255.

It is a happy number.

55239905664 is a `hidden beast` number, since 5 + 523 + 9 + 9 + 0 + 56 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55239905664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12014214 + ... + 12018810.

Almost surely, 2^55239905664 is an apocalyptic number.

55239905664 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 55239905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87960199800).

55239905664 is an abundant number, since it is smaller than the sum of its proper divisors (120680493936).

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

55239905664 is a wasteful number, since it uses less digits than its factorization.

55239905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 55239905664 in words is "fifty-five billion, two hundred thirty-nine million, nine hundred five thousand, six hundred sixty-four".