55850010292224 has 1040 divisors, whose sum is σ = 180961803712800. Its totient is φ = 17098875076608.

The previous prime is 55850010292183. The next prime is 55850010292261. The reversal of 55850010292224 is 42229201005855.

55850010292224 is a `hidden beast` number, since 5 + 58 + 500 + 1 + 0 + 2 + 92 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55850010292224.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52245097962 + ... + 52245099030.

Almost surely, 2^{55850010292224} is an apocalyptic number.

55850010292224 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 55850010292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90480901856400).

55850010292224 is an abundant number, since it is smaller than the sum of its proper divisors (125111793420576).

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

55850010292224 is a wasteful number, since it uses less digits than its factorization.

55850010292224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 55850010292224 in words is "fifty-five trillion, eight hundred fifty billion, ten million, two hundred ninety-two thousand, two hundred twenty-four".