90909155160 has 48 divisors (see below), whose sum is σ = 295454755440. Its totient is φ = 24242441280.

The previous prime is 90909155123. The next prime is 90909155167. The reversal of 90909155160 is 6155190909.

It is a happy number.

90909155160 is a `hidden beast` number, since 9 + 0 + 9 + 0 + 91 + 551 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909155167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126262356 + ... + 126263075.

It is an arithmetic number, because the mean of its divisors is an integer number (6155307405).

Almost surely, 2^90909155160 is an apocalyptic number.

90909155160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90909155160 is an abundant number, since it is smaller than the sum of its proper divisors (204545600280).

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

90909155160 is a wasteful number, since it uses less digits than its factorization.

90909155160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252525448 (or 252525441 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 45.

The spelling of 90909155160 in words is "ninety billion, nine hundred nine million, one hundred fifty-five thousand, one hundred sixty".