90732292560 has 1440 divisors, whose sum is σ = 420120110592. Its totient is φ = 17975623680.

The previous prime is 90732292559. The next prime is 90732292621. The reversal of 90732292560 is 6529223709.

It is a happy number.

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

It is a congruent 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 287 ways as a sum of consecutive naturals, for example, 210515545 + ... + 210515975.

Almost surely, 2^90732292560 is an apocalyptic number.

90732292560 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 90732292560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210060055296).

90732292560 is an abundant number, since it is smaller than the sum of its proper divisors (329387818032).

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

90732292560 is a wasteful number, since it uses less digits than its factorization.

90732292560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 90732292560 in words is "ninety billion, seven hundred thirty-two million, two hundred ninety-two thousand, five hundred sixty".