90160245704760 has 768 divisors, whose sum is σ = 345548915066880. Its totient is φ = 18417883545600.

The previous prime is 90160245704717. The next prime is 90160245704803. The reversal of 90160245704760 is 6740754206109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90160245704717) and next prime (90160245704803).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2547385624 + ... + 2547421016.

It is an arithmetic number, because the mean of its divisors is an integer number (449933483160).

Almost surely, 2^{90160245704760} 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 90160245704760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172774457533440).

90160245704760 is an abundant number, since it is smaller than the sum of its proper divisors (255388669362120).

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

90160245704760 is a wasteful number, since it uses less digits than its factorization.

90160245704760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35860 (or 35845 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 90160245704760 in words is "ninety trillion, one hundred sixty billion, two hundred forty-five million, seven hundred four thousand, seven hundred sixty".