90012270096 has 360 divisors, whose sum is σ = 306378009600. Its totient is φ = 24568427520.

The previous prime is 90012270091. The next prime is 90012270137. The reversal of 90012270096 is 69007221009.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90012270096.

It is not an unprimeable number, because it can be changed into a prime (90012270091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17277540 + ... + 17282748.

Almost surely, 2^90012270096 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 90012270096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153189004800).

90012270096 is an abundant number, since it is smaller than the sum of its proper divisors (216365739504).

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

90012270096 is a wasteful number, since it uses less digits than its factorization.

90012270096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 90012270096 in words is "ninety billion, twelve million, two hundred seventy thousand, ninety-six".