91966477262880 has 384 divisors, whose sum is σ = 318008019603456. Its totient is φ = 22155451084800.

The previous prime is 91966477262857. The next prime is 91966477262897. The reversal of 91966477262880 is 8826277466919.

It is a super-3 number, since 3×91966477262880³ (a number of 43 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3900012690 + ... + 3900036270.

It is an arithmetic number, because the mean of its divisors is an integer number (828145884384).

Almost surely, 2^{91966477262880} 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 91966477262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159004009801728).

91966477262880 is an abundant number, since it is smaller than the sum of its proper divisors (226041542340576).

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

91966477262880 is a wasteful number, since it uses less digits than its factorization.

91966477262880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28200 (or 28192 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 91966477262880 in words is "ninety-one trillion, nine hundred sixty-six billion, four hundred seventy-seven million, two hundred sixty-two thousand, eight hundred eighty".