90560728665792 has 784 divisors, whose sum is σ = 343733419468032. Its totient is φ = 22975198525440.

The previous prime is 90560728665773. The next prime is 90560728665809. The reversal of 90560728665792 is 29756682706509.

It is a happy number.

90560728665792 is a `hidden beast` number, since 9 + 0 + 5 + 607 + 2 + 8 + 6 + 6 + 5 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 90560728665792.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 154184898 + ... + 154771134.

Almost surely, 2^{90560728665792} 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 90560728665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171866709734016).

90560728665792 is an abundant number, since it is smaller than the sum of its proper divisors (253172690802240).

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

90560728665792 is a wasteful number, since it uses less digits than its factorization.

90560728665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586328 (or 586303 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 90560728665792 in words is "ninety trillion, five hundred sixty billion, seven hundred twenty-eight million, six hundred sixty-five thousand, seven hundred ninety-two".