90259559880 has 256 divisors, whose sum is σ = 318862656000. Its totient is φ = 20009902080.

The previous prime is 90259559843. The next prime is 90259559881. The reversal of 90259559880 is 8895595209.

It is a super-2 number, since 2×90259559880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (90259559881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5950546 + ... + 5965694.

It is an arithmetic number, because the mean of its divisors is an integer number (1245557250).

Almost surely, 2^90259559880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90259559880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159431328000).

90259559880 is an abundant number, since it is smaller than the sum of its proper divisors (228603096120).

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

90259559880 is a wasteful number, since it uses less digits than its factorization.

90259559880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15384 (or 15380 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 60.

The spelling of 90259559880 in words is "ninety billion, two hundred fifty-nine million, five hundred fifty-nine thousand, eight hundred eighty".