55505105700 has 144 divisors (see below), whose sum is σ = 175514641344. Its totient is φ = 13431180800.

The previous prime is 55505105699. The next prime is 55505105771. The reversal of 55505105700 is 750150555.

55505105700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823002 + ... + 1853198.

It is an arithmetic number, because the mean of its divisors is an integer number (1218851676).

Almost surely, 2^55505105700 is an apocalyptic number.

55505105700 is a gapful number since it is divisible by the number (50) 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 55505105700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87757320672).

55505105700 is an abundant number, since it is smaller than the sum of its proper divisors (120009535644).

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

55505105700 is a wasteful number, since it uses less digits than its factorization.

55505105700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30782 (or 30775 counting only the distinct ones).

The product of its (nonzero) digits is 21875, while the sum is 33.

The spelling of 55505105700 in words is "fifty-five billion, five hundred five million, one hundred five thousand, seven hundred".