91646761605120 has 288 divisors, whose sum is σ = 318125396862000. Its totient is φ = 24401112662016.

The previous prime is 91646761605037. The next prime is 91646761605253. The reversal of 91646761605120 is 2150616764619.

91646761605120 is a `hidden beast` number, since 9 + 1 + 6 + 4 + 6 + 7 + 6 + 1 + 605 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58485606 + ... + 60032154.

Almost surely, 2^{91646761605120} is an apocalyptic number.

91646761605120 is a gapful number since it is divisible by the number (90) 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 91646761605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159062698431000).

91646761605120 is an abundant number, since it is smaller than the sum of its proper divisors (226478635256880).

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

91646761605120 is a wasteful number, since it uses less digits than its factorization.

91646761605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547225 (or 1547202 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 91646761605120 in words is "ninety-one trillion, six hundred forty-six billion, seven hundred sixty-one million, six hundred five thousand, one hundred twenty".