90262834763712 has 448 divisors, whose sum is σ = 262923447435264. Its totient is φ = 27161585418240.

The previous prime is 90262834763659. The next prime is 90262834763719. The reversal of 90262834763712 is 21736743826209.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90262834763719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11019753537 + ... + 11019761727.

It is an arithmetic number, because the mean of its divisors is an integer number (586882695168).

Almost surely, 2^{90262834763712} 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 90262834763712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131461723717632).

90262834763712 is an abundant number, since it is smaller than the sum of its proper divisors (172660612671552).

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

90262834763712 is a wasteful number, since it uses less digits than its factorization.

90262834763712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 90262834763712 in words is "ninety trillion, two hundred sixty-two billion, eight hundred thirty-four million, seven hundred sixty-three thousand, seven hundred twelve".