90720259200 has 864 divisors, whose sum is σ = 350068972500. Its totient is φ = 23201095680.

The previous prime is 90720259187. The next prime is 90720259219. The reversal of 90720259200 is 295202709.

It can be written as a sum of positive squares in 6 ways, for example, as 16296054336 + 74424204864 = 127656^2 + 272808^2 .

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 608860726 + ... + 608860874.

Almost surely, 2^90720259200 is an apocalyptic number.

90720259200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90720259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175034486250).

90720259200 is an abundant number, since it is smaller than the sum of its proper divisors (259348713300).

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

90720259200 is an equidigital number, since it uses as much as digits as its factorization.

90720259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 90720259200 in words is "ninety billion, seven hundred twenty million, two hundred fifty-nine thousand, two hundred".