86342597949888 has 2240 divisors, whose sum is σ = 316132137498240. Its totient is φ = 23078471270400.

The previous prime is 86342597949857. The next prime is 86342597949889. The reversal of 86342597949888 is 88894979524368.

86342597949888 is a `hidden beast` number, since 8 + 6 + 3 + 4 + 2 + 597 + 9 + 4 + 9 + 8 + 8 + 8 = 666.

Its product of digits (60197437440) is a multiple of the sum of its prime divisors (324).

It is a junction number, because it is equal to n+sod(n) for n = 86342597949798 and 86342597949807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86342597949889) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 549952853106 + ... + 549952853262.

It is an arithmetic number, because the mean of its divisors is an integer number (141130418526).

Almost surely, 2^{86342597949888} 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 86342597949888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158066068749120).

86342597949888 is an abundant number, since it is smaller than the sum of its proper divisors (229789539548352).

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

86342597949888 is a wasteful number, since it uses less digits than its factorization.

86342597949888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 324 counting only the distinct ones).

The product of its digits is 60197437440, while the sum is 90.

The spelling of 86342597949888 in words is "eighty-six trillion, three hundred forty-two billion, five hundred ninety-seven million, nine hundred forty-nine thousand, eight hundred eighty-eight".