90576258048 has 440 divisors, whose sum is σ = 286286542080. Its totient is φ = 28466380800.

The previous prime is 90576258041. The next prime is 90576258049. The reversal of 90576258048 is 84085267509.

90576258048 is a `hidden beast` number, since 9 + 0 + 5 + 7 + 625 + 8 + 0 + 4 + 8 = 666.

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 = 90576257985 and 90576258003.

It is not an unprimeable number, because it can be changed into a prime (90576258041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150708948 + ... + 150709548.

It is an arithmetic number, because the mean of its divisors is an integer number (650651232).

Almost surely, 2^90576258048 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 90576258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143143271040).

90576258048 is an abundant number, since it is smaller than the sum of its proper divisors (195710284032).

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

90576258048 is a wasteful number, since it uses less digits than its factorization.

90576258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 90576258048 in words is "ninety billion, five hundred seventy-six million, two hundred fifty-eight thousand, forty-eight".