90801267216000 has 3072 divisors, whose sum is σ = 363538800967680. Its totient is φ = 20022266880000.

The previous prime is 90801267215999. The next prime is 90801267216073. The reversal of 90801267216000 is 61276210809.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 714970607937 + ... + 714970608063.

It is an arithmetic number, because the mean of its divisors is an integer number (118339453440).

Almost surely, 2^{90801267216000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90801267216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181769400483840).

90801267216000 is an abundant number, since it is smaller than the sum of its proper divisors (272737533751680).

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

90801267216000 is a wasteful number, since it uses less digits than its factorization.

90801267216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 90801267216000 in words is "ninety trillion, eight hundred one billion, two hundred sixty-seven million, two hundred sixteen thousand".