91963335260160 has 3072 divisors, whose sum is σ = 429614619033600. Its totient is φ = 18107389181952.

The previous prime is 91963335260129. The next prime is 91963335260191. The reversal of 91963335260160 is 6106253336919.

91963335260160 is a `hidden beast` number, since 9 + 1 + 96 + 3 + 335 + 2 + 60 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (91963335260129) and next prime (91963335260191).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×91963335260160³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 91963335260097 and 91963335260106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54319748274 + ... + 54319749966.

It is an arithmetic number, because the mean of its divisors is an integer number (139848508800).

Almost surely, 2^{91963335260160} is an apocalyptic number.

91963335260160 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 91963335260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214807309516800).

91963335260160 is an abundant number, since it is smaller than the sum of its proper divisors (337651283773440).

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

91963335260160 is a wasteful number, since it uses less digits than its factorization.

91963335260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 91963335260160 in words is "ninety-one trillion, nine hundred sixty-three billion, three hundred thirty-five million, two hundred sixty thousand, one hundred sixty".