90431147520 has 960 divisors, whose sum is σ = 391079969280. Its totient is φ = 19564167168.

The previous prime is 90431147519. The next prime is 90431147531. The reversal of 90431147520 is 2574113409.

90431147520 is a `hidden beast` number, since 90 + 4 + 3 + 1 + 1 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82736094 + ... + 82737186.

It is an arithmetic number, because the mean of its divisors is an integer number (407374968).

Almost surely, 2^90431147520 is an apocalyptic number.

90431147520 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 90431147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195539984640).

90431147520 is an abundant number, since it is smaller than the sum of its proper divisors (300648821760).

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

90431147520 is a wasteful number, since it uses less digits than its factorization.

90431147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 90431147520 in words is "ninety billion, four hundred thirty-one million, one hundred forty-seven thousand, five hundred twenty".