90792283192800 has 1152 divisors, whose sum is σ = 367337768878080. Its totient is φ = 19023145574400.

The previous prime is 90792283192799. The next prime is 90792283192829. The reversal of 90792283192800 is 829138229709.

90792283192800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1233738406 + ... + 1233811994.

It is an arithmetic number, because the mean of its divisors is an integer number (318869591040).

Almost surely, 2^{90792283192800} 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 90792283192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183668884439040).

90792283192800 is an abundant number, since it is smaller than the sum of its proper divisors (276545485685280).

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

90792283192800 is a wasteful number, since it uses less digits than its factorization.

90792283192800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73776 (or 73763 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 90792283192800 in words is "ninety trillion, seven hundred ninety-two billion, two hundred eighty-three million, one hundred ninety-two thousand, eight hundred".