90653104397600 has 288 divisors, whose sum is σ = 234789675998976. Its totient is φ = 34060610355200.

The previous prime is 90653104397587. The next prime is 90653104397663. The reversal of 90653104397600 is 679340135609.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26607895097 + ... + 26607898503.

It is an arithmetic number, because the mean of its divisors is an integer number (815241930552).

Almost surely, 2^{90653104397600} 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 90653104397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117394837999488).

90653104397600 is an abundant number, since it is smaller than the sum of its proper divisors (144136571601376).

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

90653104397600 is a wasteful number, since it uses less digits than its factorization.

90653104397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 53.

The spelling of 90653104397600 in words is "ninety trillion, six hundred fifty-three billion, one hundred four million, three hundred ninety-seven thousand, six hundred".