91986381679680 has 168 divisors, whose sum is σ = 317412175114944. Its totient is φ = 24450827904000.

The previous prime is 91986381679669. The next prime is 91986381679681. The reversal of 91986381679680 is 8697618368919.

91986381679680 is a `hidden beast` number, since 9 + 1 + 98 + 6 + 381 + 6 + 79 + 6 + 80 = 666.

It is a super-2 number, since 2×91986381679680² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91986381679680.

It is not an unprimeable number, because it can be changed into a prime (91986381679681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50454346 + ... + 52245705.

It is an arithmetic number, because the mean of its divisors is an integer number (1889358185208).

Almost surely, 2^{91986381679680} is an apocalyptic number.

91986381679680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91986381679680 is an abundant number, since it is smaller than the sum of its proper divisors (225425793435264).

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

91986381679680 is a wasteful number, since it uses less digits than its factorization.

91986381679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102700385 (or 102700372 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 81.

The spelling of 91986381679680 in words is "ninety-one trillion, nine hundred eighty-six billion, three hundred eighty-one million, six hundred seventy-nine thousand, six hundred eighty".