86073382264072 has 128 divisors (see below), whose sum is σ = 186072671232000. Its totient is φ = 36564212072448.

The previous prime is 86073382264031. The next prime is 86073382264073. The reversal of 86073382264072 is 27046228337068.

It is a junction number, because it is equal to n+sod(n) for n = 86073382263998 and 86073382264016.

It is not an unprimeable number, because it can be changed into a prime (86073382264073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9894625179 + ... + 9894633877.

It is an arithmetic number, because the mean of its divisors is an integer number (1453692744000).

Almost surely, 2^{86073382264072} is an apocalyptic number.

It is an amenable number.

86073382264072 is an abundant number, since it is smaller than the sum of its proper divisors (99999288967928).

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

86073382264072 is a wasteful number, since it uses less digits than its factorization.

86073382264072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12275 (or 12271 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 58.

The spelling of 86073382264072 in words is "eighty-six trillion, seventy-three billion, three hundred eighty-two million, two hundred sixty-four thousand, seventy-two".