55998817344 has 252 divisors, whose sum is σ = 175472902800. Its totient is φ = 17681317632.

The previous prime is 55998817337. The next prime is 55998817349. The reversal of 55998817344 is 44371889955.

55998817344 is a `hidden beast` number, since 5 + 599 + 8 + 8 + 1 + 7 + 34 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55998817349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7974667 + ... + 7981685.

Almost surely, 2^55998817344 is an apocalyptic number.

55998817344 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 55998817344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87736451400).

55998817344 is an abundant number, since it is smaller than the sum of its proper divisors (119474085456).

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

55998817344 is an frugal number, since it uses more digits than its factorization.

55998817344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7043 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 55998817344 in words is "fifty-five billion, nine hundred ninety-eight million, eight hundred seventeen thousand, three hundred forty-four".