86961462384672 has 96 divisors (see below), whose sum is σ = 254242940011200. Its totient is φ = 28917972255744.

The previous prime is 86961462384649. The next prime is 86961462384707. The reversal of 86961462384672 is 27648326416968.

86961462384672 is a `hidden beast` number, since 8 + 6 + 9 + 61 + 462 + 38 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86961462384672.

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 15 ways as a sum of consecutive naturals, for example, 119745193 + ... + 120469224.

It is an arithmetic number, because the mean of its divisors is an integer number (2648363958450).

Almost surely, 2^{86961462384672} is an apocalyptic number.

It is an amenable number.

86961462384672 is an abundant number, since it is smaller than the sum of its proper divisors (167281477626528).

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

86961462384672 is a wasteful number, since it uses less digits than its factorization.

86961462384672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240214855 (or 240214841 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 86961462384672 in words is "eighty-six trillion, nine hundred sixty-one billion, four hundred sixty-two million, three hundred eighty-four thousand, six hundred seventy-two".