55110890802240 has 2688 divisors, whose sum is σ = 245397454848000. Its totient is φ = 11041452195840.

The previous prime is 55110890802161. The next prime is 55110890802241. The reversal of 55110890802240 is 4220809801155.

55110890802240 is a `hidden beast` number, since 5 + 511 + 0 + 8 + 90 + 8 + 0 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55110890802241) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 143892665089 + ... + 143892665471.

It is an arithmetic number, because the mean of its divisors is an integer number (91293696000).

Almost surely, 2^{55110890802240} 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 55110890802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122698727424000).

55110890802240 is an abundant number, since it is smaller than the sum of its proper divisors (190286564045760).

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

55110890802240 is a wasteful number, since it uses less digits than its factorization.

55110890802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 55110890802240 in words is "fifty-five trillion, one hundred ten billion, eight hundred ninety million, eight hundred two thousand, two hundred forty".