90273914400 has 288 divisors, whose sum is σ = 317195948160. Its totient is φ = 22231982080.

The previous prime is 90273914389. The next prime is 90273914447. The reversal of 90273914400 is 441937209.

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, 1572604 + ... + 1628996.

It is an arithmetic number, because the mean of its divisors is an integer number (1101374820).

Almost surely, 2^90273914400 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 90273914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158597974080).

90273914400 is an abundant number, since it is smaller than the sum of its proper divisors (226922033760).

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

90273914400 is a wasteful number, since it uses less digits than its factorization.

90273914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56468 (or 56455 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 90273914400 in words is "ninety billion, two hundred seventy-three million, nine hundred fourteen thousand, four hundred".