55359909265920 has 1280 divisors, whose sum is σ = 213359629824000. Its totient is φ = 11977737633792.

The previous prime is 55359909265883. The next prime is 55359909265993. The reversal of 55359909265920 is 2956290995355.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51786631146 + ... + 51786632214.

It is an arithmetic number, because the mean of its divisors is an integer number (166687210800).

Almost surely, 2^{55359909265920} 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 55359909265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106679814912000).

55359909265920 is an abundant number, since it is smaller than the sum of its proper divisors (157999720558080).

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

55359909265920 is a wasteful number, since it uses less digits than its factorization.

55359909265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 295245000, while the sum is 69.

The spelling of 55359909265920 in words is "fifty-five trillion, three hundred fifty-nine billion, nine hundred nine million, two hundred sixty-five thousand, nine hundred twenty".