90002484000 has 576 divisors, whose sum is σ = 375282730368. Its totient is φ = 20139264000.

The previous prime is 90002483983. The next prime is 90002484023. The reversal of 90002484000 is 48420009.

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, 5139259 + ... + 5156741.

It is an arithmetic number, because the mean of its divisors is an integer number (651532518).

Almost surely, 2^90002484000 is an apocalyptic number.

90002484000 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 90002484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187641365184).

90002484000 is an abundant number, since it is smaller than the sum of its proper divisors (285280246368).

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

90002484000 is a wasteful number, since it uses less digits than its factorization.

90002484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17538 (or 17517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 90002484000 in words is "ninety billion, two million, four hundred eighty-four thousand".