90966177792 has 1080 divisors, whose sum is σ = 344341277280. Its totient is φ = 23828152320.

The previous prime is 90966177787. The next prime is 90966177817. The reversal of 90966177792 is 29777166909.

90966177792 is a `hidden beast` number, since 9 + 0 + 9 + 6 + 617 + 7 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2934392817 + ... + 2934392847.

It is an arithmetic number, because the mean of its divisors is an integer number (318834516).

Almost surely, 2^90966177792 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 90966177792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172170638640).

90966177792 is an abundant number, since it is smaller than the sum of its proper divisors (253375099488).

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

90966177792 is a wasteful number, since it uses less digits than its factorization.

90966177792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 63.

The spelling of 90966177792 in words is "ninety billion, nine hundred sixty-six million, one hundred seventy-seven thousand, seven hundred ninety-two".