90485458560 has 1024 divisors, whose sum is σ = 385413120000. Its totient is φ = 19627868160.

The previous prime is 90485458549. The next prime is 90485458571. The reversal of 90485458560 is 6585458409.

90485458560 is a `hidden beast` number, since 9 + 0 + 4 + 8 + 54 + 585 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90485458549) and next prime (90485458571).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90485458497 and 90485458506.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 221235636 + ... + 221236044.

It is an arithmetic number, because the mean of its divisors is an integer number (376380000).

Almost surely, 2^90485458560 is an apocalyptic number.

90485458560 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 90485458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192706560000).

90485458560 is an abundant number, since it is smaller than the sum of its proper divisors (294927661440).

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

90485458560 is a wasteful number, since it uses less digits than its factorization.

90485458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 90485458560 in words is "ninety billion, four hundred eighty-five million, four hundred fifty-eight thousand, five hundred sixty".