90871260480 has 2688 divisors, whose sum is σ = 467002368000. Its totient is φ = 16303472640.

The previous prime is 90871260479. The next prime is 90871260509. The reversal of 90871260480 is 8406217809.

90871260480 is a `hidden beast` number, since 90 + 87 + 1 + 2 + 6 + 0 + 480 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1150269081 + ... + 1150269159.

It is an arithmetic number, because the mean of its divisors is an integer number (173736000).

Almost surely, 2^90871260480 is an apocalyptic number.

90871260480 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 90871260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184000).

90871260480 is an abundant number, since it is smaller than the sum of its proper divisors (376131107520).

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

90871260480 is a wasteful number, since it uses less digits than its factorization.

90871260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 90871260480 in words is "ninety billion, eight hundred seventy-one million, two hundred sixty thousand, four hundred eighty".