90584865876960 has 1536 divisors, whose sum is σ = 412820029440000. Its totient is φ = 18015211855872.

The previous prime is 90584865876949. The next prime is 90584865876977. The reversal of 90584865876960 is 6967856848509.

90584865876960 is a `hidden beast` number, since 9 + 0 + 5 + 8 + 486 + 5 + 8 + 76 + 9 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 90584865876960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1486356249 + ... + 1486417191.

It is an arithmetic number, because the mean of its divisors is an integer number (268763040000).

Almost surely, 2^{90584865876960} is an apocalyptic number.

90584865876960 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 90584865876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206410014720000).

90584865876960 is an abundant number, since it is smaller than the sum of its proper divisors (322235163563040).

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

90584865876960 is a wasteful number, since it uses less digits than its factorization.

90584865876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61205 (or 61191 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 90584865876960 in words is "ninety trillion, five hundred eighty-four billion, eight hundred sixty-five million, eight hundred seventy-six thousand, nine hundred sixty".