90153248320 has 28 divisors (see below), whose sum is σ = 214677423324. Its totient is φ = 36061299200.

The previous prime is 90153248309. The next prime is 90153248321. The reversal of 90153248320 is 2384235109.

It can be written as a sum of positive squares in 2 ways, for example, as 56579282496 + 33573965824 = 237864^2 + 183232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90153248320.

It is not an unprimeable number, because it can be changed into a prime (90153248321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140864131 + ... + 140864770.

It is an arithmetic number, because the mean of its divisors is an integer number (7667050833).

Almost surely, 2^90153248320 is an apocalyptic number.

It is an amenable number.

90153248320 is an abundant number, since it is smaller than the sum of its proper divisors (124524175004).

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

90153248320 is a wasteful number, since it uses less digits than its factorization.

90153248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281728918 (or 281728908 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 90153248320 in words is "ninety billion, one hundred fifty-three million, two hundred forty-eight thousand, three hundred twenty".