31968861986880 has 2240 divisors, whose sum is σ = 152087213752320. Its totient is φ = 6183674265600.

The previous prime is 31968861986821. The next prime is 31968861986989. The reversal of 31968861986880 is 8868916886913.

31968861986880 is a `hidden beast` number, since 319 + 6 + 8 + 86 + 1 + 98 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×31968861986880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 31968861986880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1389274575 + ... + 1389297585.

It is an arithmetic number, because the mean of its divisors is an integer number (67896077568).

Almost surely, 2^{31968861986880} is an apocalyptic number.

31968861986880 is a gapful number since it is divisible by the number (30) 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 31968861986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76043606876160).

31968861986880 is an abundant number, since it is smaller than the sum of its proper divisors (120118351765440).

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

31968861986880 is a wasteful number, since it uses less digits than its factorization.

31968861986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23110 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 81.

The spelling of 31968861986880 in words is "thirty-one trillion, nine hundred sixty-eight billion, eight hundred sixty-one million, nine hundred eighty-six thousand, eight hundred eighty".