90275618160 has 480 divisors, whose sum is σ = 395093462400. Its totient is φ = 17926520832.

The previous prime is 90275618141. The next prime is 90275618161. The reversal of 90275618160 is 6181657209.

90275618160 is a `hidden beast` number, since 9 + 0 + 2 + 7 + 561 + 81 + 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 (90275618161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1073316 + ... + 1154364.

It is an arithmetic number, because the mean of its divisors is an integer number (823111380).

Almost surely, 2^90275618160 is an apocalyptic number.

90275618160 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 90275618160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197546731200).

90275618160 is an abundant number, since it is smaller than the sum of its proper divisors (304817844240).

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

90275618160 is a wasteful number, since it uses less digits than its factorization.

90275618160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81105 (or 81096 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 90275618160 in words is "ninety billion, two hundred seventy-five million, six hundred eighteen thousand, one hundred sixty".