90813109647360 has 96 divisors (see below), whose sum is σ = 290531003227920. Its totient is φ = 24216829231104.

The previous prime is 90813109647353. The next prime is 90813109647367. The reversal of 90813109647360 is 6374690131809.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90813109647353) and next prime (90813109647367).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 90813109647360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90813109647367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1478047237 + ... + 1478108676.

Almost surely, 2^{90813109647360} is an apocalyptic number.

It is an amenable number.

90813109647360 is an abundant number, since it is smaller than the sum of its proper divisors (199717893580560).

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

90813109647360 is a wasteful number, since it uses less digits than its factorization.

90813109647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956155943 (or 2956155923 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 90813109647360 in words is "ninety trillion, eight hundred thirteen billion, one hundred nine million, six hundred forty-seven thousand, three hundred sixty".