90574848000 has 1536 divisors, whose sum is σ = 416790017280. Its totient is φ = 19110297600.

The previous prime is 90574847999. The next prime is 90574848019. The reversal of 90574848000 is 84847509.

90574848000 is a `hidden beast` number, since 90 + 5 + 7 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6967295994 + ... + 6967296006.

Almost surely, 2^90574848000 is an apocalyptic number.

90574848000 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 90574848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208395008640).

90574848000 is an abundant number, since it is smaller than the sum of its proper divisors (326215169280).

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

90574848000 is an frugal number, since it uses more digits than its factorization.

90574848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 90574848000 in words is "ninety billion, five hundred seventy-four million, eight hundred forty-eight thousand".