90965016576 has 588 divisors, whose sum is σ = 330074790192. Its totient is φ = 24461180928.

The previous prime is 90965016539. The next prime is 90965016587. The reversal of 90965016576 is 67561056909.

90965016576 is a `hidden beast` number, since 9 + 0 + 9 + 6 + 50 + 16 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5350883320 + ... + 5350883336.

It is an arithmetic number, because the mean of its divisors is an integer number (561351684).

Almost surely, 2^90965016576 is an apocalyptic number.

90965016576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90965016576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165037395096).

90965016576 is an abundant number, since it is smaller than the sum of its proper divisors (239109773616).

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

90965016576 is an frugal number, since it uses more digits than its factorization.

90965016576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 90965016576 in words is "ninety billion, nine hundred sixty-five million, sixteen thousand, five hundred seventy-six".