90316800000 has 918 divisors, whose sum is σ = 379364824566. Its totient is φ = 20643840000.

The previous prime is 90316799879. The next prime is 90316800023. The reversal of 90316800000 is 861309.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 41733586944 + 48583213056 = 204288^2 + 220416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12902399997 + ... + 12902400003.

Almost surely, 2^90316800000 is an apocalyptic number.

90316800000 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 90316800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189682412283).

90316800000 is an abundant number, since it is smaller than the sum of its proper divisors (289048024566).

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

90316800000 is an frugal number, since it uses more digits than its factorization.

90316800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 90316800000 in words is "ninety billion, three hundred sixteen million, eight hundred thousand".