90871784080 has 240 divisors, whose sum is σ = 269056029312. Its totient is φ = 27934156800.

The previous prime is 90871784033. The next prime is 90871784083. The reversal of 90871784080 is 8048717809.

It is a super-2 number, since 2×90871784080² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90871784083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4937295 + ... + 4955665.

Almost surely, 2^90871784080 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 90871784080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134528014656).

90871784080 is an abundant number, since it is smaller than the sum of its proper divisors (178184245232).

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

90871784080 is a wasteful number, since it uses less digits than its factorization.

90871784080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18486 (or 18469 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 90871784080 in words is "ninety billion, eight hundred seventy-one million, seven hundred eighty-four thousand, eighty".