90342720000 has 1200 divisors, whose sum is σ = 372252840960. Its totient is φ = 20901888000.

The previous prime is 90342719977. The next prime is 90342720059. The reversal of 90342720000 is 2724309.

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 711359937 + ... + 711360063.

Almost surely, 2^90342720000 is an apocalyptic number.

90342720000 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 90342720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186126420480).

90342720000 is an abundant number, since it is smaller than the sum of its proper divisors (281910120960).

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

90342720000 is a wasteful number, since it uses less digits than its factorization.

90342720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 90342720000 in words is "ninety billion, three hundred forty-two million, seven hundred twenty thousand".