90216129600 has 189 divisors, whose sum is σ = 320777582853. Its totient is φ = 24048023040.

The previous prime is 90216129589. The next prime is 90216129607. The reversal of 90216129600 is 692161209.

The square root of 90216129600 is 300360.

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

90216129600 is a `hidden beast` number, since 9 + 0 + 21 + 6 + 1 + 29 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32477806656 + 57738322944 = 180216^2 + 240288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90216129607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36041949 + ... + 36044451.

Almost surely, 2^90216129600 is an apocalyptic number.

90216129600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90216129600 is the 300360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90216129600

90216129600 is an abundant number, since it is smaller than the sum of its proper divisors (230561453253).

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

90216129600 is an equidigital number, since it uses as much as digits as its factorization.

90216129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 90216129600 by its sum of digits (36), we get a square (3247780665600 = 1802160²).

90216129600 divided by its sum of digits (36) gives a square (2506003600 = 50060²).

The spelling of 90216129600 in words is "ninety billion, two hundred sixteen million, one hundred twenty-nine thousand, six hundred".