86838884572272 has 240 divisors, whose sum is σ = 264756863181600. Its totient is φ = 24450661638144.

The previous prime is 86838884572213. The next prime is 86838884572301. The reversal of 86838884572272 is 27227548883868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204621354 + ... + 205045302.

It is an arithmetic number, because the mean of its divisors is an integer number (1103153596590).

Almost surely, 2^{86838884572272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86838884572272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378431590800).

86838884572272 is an abundant number, since it is smaller than the sum of its proper divisors (177917978609328).

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

86838884572272 is a wasteful number, since it uses less digits than its factorization.

86838884572272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425240 (or 425227 counting only the distinct ones).

The product of its digits is 4624220160, while the sum is 78.

The spelling of 86838884572272 in words is "eighty-six trillion, eight hundred thirty-eight billion, eight hundred eighty-four million, five hundred seventy-two thousand, two hundred seventy-two".