90132278544 has 540 divisors, whose sum is σ = 324639495180. Its totient is φ = 23258188800.

The previous prime is 90132278519. The next prime is 90132278549. The reversal of 90132278544 is 44587223109.

90132278544 is a `hidden beast` number, since 9 + 0 + 1 + 32 + 2 + 78 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59956419600 + 30175858944 = 244860^2 + 173712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90132278544.

It is not an unprimeable number, because it can be changed into a prime (90132278549) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 195514474 + ... + 195514934.

Almost surely, 2^90132278544 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 90132278544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162319747590).

90132278544 is an abundant number, since it is smaller than the sum of its proper divisors (234507216636).

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

90132278544 is a wasteful number, since it uses less digits than its factorization.

90132278544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 90132278544 in words is "ninety billion, one hundred thirty-two million, two hundred seventy-eight thousand, five hundred forty-four".