86347688800 has 144 divisors (see below), whose sum is σ = 224567501760. Its totient is φ = 32326525440.

The previous prime is 86347688783. The next prime is 86347688851. The reversal of 86347688800 is 888674368.

It is a super-2 number, since 2×86347688800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227379 + ... + 1295821.

It is an arithmetic number, because the mean of its divisors is an integer number (1559496540).

Almost surely, 2^86347688800 is an apocalyptic number.

86347688800 is a gapful number since it is divisible by the number (80) 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 86347688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112283750880).

86347688800 is an abundant number, since it is smaller than the sum of its proper divisors (138219812960).

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

86347688800 is a wasteful number, since it uses less digits than its factorization.

86347688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68565 (or 68552 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 58.

The spelling of 86347688800 in words is "eighty-six billion, three hundred forty-seven million, six hundred eighty-eight thousand, eight hundred".