90272421392400 has 675 divisors, whose sum is σ = 339737908757091. Its totient is φ = 22197188782080.

The previous prime is 90272421392389. The next prime is 90272421392411. The reversal of 90272421392400 is 429312427209.

The square root of 90272421392400 is 9501180.

It is a perfect power (a square), and thus also a powerful number.

90272421392400 is a `hidden beast` number, since 9 + 0 + 2 + 7 + 24 + 213 + 9 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (90272421392389) and next prime (90272421392411).

It can be written as a sum of positive squares in 22 ways, for example, as 792021681936 + 89480399710464 = 889956^2 + 9459408^2 .

It is a super-2 number, since 2×90272421392400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 96341964732 + ... + 96341965668.

Almost surely, 2^{90272421392400} is an apocalyptic number.

90272421392400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90272421392400 is the 9501180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90272421392400

90272421392400 is an abundant number, since it is smaller than the sum of its proper divisors (249465487364691).

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

90272421392400 is an frugal number, since it uses more digits than its factorization.

90272421392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 90272421392400 in words is "ninety trillion, two hundred seventy-two billion, four hundred twenty-one million, three hundred ninety-two thousand, four hundred".