55909240900 has 72 divisors (see below), whose sum is σ = 125510411264. Its totient is φ = 21594988800.

The previous prime is 55909240867. The next prime is 55909240939. The reversal of 55909240900 is 904290955.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 1415824 + ... + 1454776.

Almost surely, 2^55909240900 is an apocalyptic number.

55909240900 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 55909240900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62755205632).

55909240900 is an abundant number, since it is smaller than the sum of its proper divisors (69601170364).

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

55909240900 is a wasteful number, since it uses less digits than its factorization.

55909240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39461 (or 39454 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 55909240900 in words is "fifty-five billion, nine hundred nine million, two hundred forty thousand, nine hundred".