90542612160 has 2688 divisors, whose sum is σ = 468231321600. Its totient is φ = 15885434880.

The previous prime is 90542612093. The next prime is 90542612213. The reversal of 90542612160 is 6121624509.

90542612160 is a `hidden beast` number, since 90 + 542 + 6 + 1 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3122159026 + ... + 3122159054.

It is an arithmetic number, because the mean of its divisors is an integer number (174193200).

Almost surely, 2^90542612160 is an apocalyptic number.

90542612160 is a gapful number since it is divisible by the number (90) 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 90542612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234115660800).

90542612160 is an abundant number, since it is smaller than the sum of its proper divisors (377688709440).

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

90542612160 is a wasteful number, since it uses less digits than its factorization.

90542612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 90542612160 in words is "ninety billion, five hundred forty-two million, six hundred twelve thousand, one hundred sixty".