90431278560 has 576 divisors, whose sum is σ = 370428484608. Its totient is φ = 19641802752.

The previous prime is 90431278559. The next prime is 90431278621. The reversal of 90431278560 is 6587213409.

90431278560 is a `hidden beast` number, since 9 + 0 + 4 + 3 + 12 + 78 + 560 = 666.

It is a super-2 number, since 2×90431278560² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37788724 + ... + 37791116.

It is an arithmetic number, because the mean of its divisors is an integer number (643105008).

It is a 1-persistent number, because it is pandigital, but 2⋅90431278560 = 180862557120 is not.

Almost surely, 2^90431278560 is an apocalyptic number.

90431278560 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 90431278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185214242304).

90431278560 is an abundant number, since it is smaller than the sum of its proper divisors (279997206048).

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

90431278560 is a wasteful number, since it uses less digits than its factorization.

90431278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 90431278560 in words is "ninety billion, four hundred thirty-one million, two hundred seventy-eight thousand, five hundred sixty".