90229859280 has 800 divisors, whose sum is σ = 364636090368. Its totient is φ = 20460211200.

The previous prime is 90229859179. The next prime is 90229859329. The reversal of 90229859280 is 8295892209.

90229859280 is a `hidden beast` number, since 90 + 229 + 8 + 59 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77053095 + ... + 77054265.

Almost surely, 2^90229859280 is an apocalyptic number.

90229859280 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 90229859280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182318045184).

90229859280 is an abundant number, since it is smaller than the sum of its proper divisors (274406231088).

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

90229859280 is a wasteful number, since it uses less digits than its factorization.

90229859280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 90229859280 in words is "ninety billion, two hundred twenty-nine million, eight hundred fifty-nine thousand, two hundred eighty".