86541620775468 has 48 divisors (see below), whose sum is σ = 202268757519360. Its totient is φ = 28798888621824.

The previous prime is 86541620775451. The next prime is 86541620775469. The reversal of 86541620775468 is 86457702614568.

It is not an unprimeable number, because it can be changed into a prime (86541620775469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59522580 + ... + 60959172.

It is an arithmetic number, because the mean of its divisors is an integer number (4213932448320).

Almost surely, 2^{86541620775468} is an apocalyptic number.

It is an amenable number.

86541620775468 is an abundant number, since it is smaller than the sum of its proper divisors (115727136743892).

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

86541620775468 is a wasteful number, since it uses less digits than its factorization.

86541620775468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445006 (or 1445004 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 69.

The spelling of 86541620775468 in words is "eighty-six trillion, five hundred forty-one billion, six hundred twenty million, seven hundred seventy-five thousand, four hundred sixty-eight".