90282721536 has 432 divisors, whose sum is σ = 308558315520. Its totient is φ = 24843939840.

The previous prime is 90282721513. The next prime is 90282721561. The reversal of 90282721536 is 63512728209.

90282721536 is a `hidden beast` number, since 90 + 2 + 8 + 2 + 7 + 21 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90282721491 and 90282721500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179488261 + ... + 179488763.

It is an arithmetic number, because the mean of its divisors is an integer number (714255360).

Almost surely, 2^90282721536 is an apocalyptic number.

90282721536 is a gapful number since it is divisible by the number (96) 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 90282721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154279157760).

90282721536 is an abundant number, since it is smaller than the sum of its proper divisors (218275593984).

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

90282721536 is a wasteful number, since it uses less digits than its factorization.

90282721536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 90282721536 in words is "ninety billion, two hundred eighty-two million, seven hundred twenty-one thousand, five hundred thirty-six".