91966754880 has 2688 divisors, whose sum is σ = 472901345280. Its totient is φ = 15765995520.

The previous prime is 91966754879. The next prime is 91966754881. The reversal of 91966754880 is 8845766919.

91966754880 is a `hidden beast` number, since 9 + 1 + 9 + 6 + 6 + 7 + 548 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (91966754879) and next prime (91966754881).

It is a super-3 number, since 3×91966754880³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (91966754881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1259818524 + ... + 1259818596.

It is an arithmetic number, because the mean of its divisors is an integer number (175930560).

Almost surely, 2^91966754880 is an apocalyptic number.

91966754880 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 91966754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236450672640).

91966754880 is an abundant number, since it is smaller than the sum of its proper divisors (380934590400).

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

91966754880 is a wasteful number, since it uses less digits than its factorization.

91966754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 91966754880 in words is "ninety-one billion, nine hundred sixty-six million, seven hundred fifty-four thousand, eight hundred eighty".