90522863280 has 320 divisors, whose sum is σ = 315108403200. Its totient is φ = 23884922880.

The previous prime is 90522863269. The next prime is 90522863323. The reversal of 90522863280 is 8236822509.

It is a happy number.

90522863280 is a `hidden beast` number, since 9 + 0 + 5 + 2 + 2 + 8 + 632 + 8 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 99366025 + ... + 99366935.

It is an arithmetic number, because the mean of its divisors is an integer number (984713760).

Almost surely, 2^90522863280 is an apocalyptic number.

90522863280 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 90522863280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157554201600).

90522863280 is an abundant number, since it is smaller than the sum of its proper divisors (224585539920).

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

90522863280 is a wasteful number, since it uses less digits than its factorization.

90522863280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 90522863280 in words is "ninety billion, five hundred twenty-two million, eight hundred sixty-three thousand, two hundred eighty".