90574515360 has 768 divisors, whose sum is σ = 381250437120. Its totient is φ = 19646115840.

The previous prime is 90574515359. The next prime is 90574515371. The reversal of 90574515360 is 6351547509.

90574515360 is a `hidden beast` number, since 9 + 0 + 5 + 74 + 515 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49683409 + ... + 49685231.

It is an arithmetic number, because the mean of its divisors is an integer number (496419840).

Almost surely, 2^90574515360 is an apocalyptic number.

90574515360 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 90574515360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190625218560).

90574515360 is an abundant number, since it is smaller than the sum of its proper divisors (290675921760).

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

90574515360 is a wasteful number, since it uses less digits than its factorization.

90574515360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 90574515360 in words is "ninety billion, five hundred seventy-four million, five hundred fifteen thousand, three hundred sixty".