55930107985920 has 2240 divisors, whose sum is σ = 238313884881600. Its totient is φ = 12328435187712.

The previous prime is 55930107985907. The next prime is 55930107985949. The reversal of 55930107985920 is 2958970103955.

55930107985920 is a `hidden beast` number, since 5 + 5 + 9 + 30 + 1 + 0 + 7 + 9 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 494956707784 + ... + 494956707896.

Almost surely, 2^{55930107985920} 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 55930107985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119156942440800).

55930107985920 is an abundant number, since it is smaller than the sum of its proper divisors (182383776895680).

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

55930107985920 is an frugal number, since it uses more digits than its factorization.

55930107985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 55930107985920 in words is "fifty-five trillion, nine hundred thirty billion, one hundred seven million, nine hundred eighty-five thousand, nine hundred twenty".