55984479955200 has 1512 divisors, whose sum is σ = 216444976713000. Its totient is φ = 14312498135040.

The previous prime is 55984479955169. The next prime is 55984479955211. The reversal of 55984479955200 is 255997448955.

55984479955200 is a `hidden beast` number, since 5 + 5 + 9 + 8 + 4 + 4 + 7 + 9 + 95 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 36000576002304 + 19983903952896 = 6000048^2 + 4470336^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20160056212 + ... + 20160058988.

It is an arithmetic number, because the mean of its divisors is an integer number (143151439625).

Almost surely, 2^{55984479955200} is an apocalyptic number.

55984479955200 is a gapful number since it is divisible by the number (50) 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 55984479955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108222488356500).

55984479955200 is an abundant number, since it is smaller than the sum of its proper divisors (160460496757800).

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

55984479955200 is a wasteful number, since it uses less digits than its factorization.

55984479955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 55984479955200 in words is "fifty-five trillion, nine hundred eighty-four billion, four hundred seventy-nine million, nine hundred fifty-five thousand, two hundred".