55806033920 has 512 divisors, whose sum is σ = 174396499200. Its totient is φ = 16647192576.

The previous prime is 55806033887. The next prime is 55806033931. The reversal of 55806033920 is 2933060855.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×55806033920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283279262 + ... + 283279458.

Almost surely, 2^55806033920 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 55806033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87198249600).

55806033920 is an abundant number, since it is smaller than the sum of its proper divisors (118590465280).

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

55806033920 is a wasteful number, since it uses less digits than its factorization.

55806033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 55806033920 in words is "fifty-five billion, eight hundred six million, thirty-three thousand, nine hundred twenty".