86843155097088 has 1600 divisors, whose sum is σ = 306897311064960. Its totient is φ = 24191343525888.

The previous prime is 86843155097087. The next prime is 86843155097107. The reversal of 86843155097088 is 88079055134868.

86843155097088 is a `hidden beast` number, since 8 + 6 + 8 + 4 + 31 + 5 + 509 + 7 + 0 + 88 = 666.

86843155097088 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86843155097087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105520236645 + ... + 105520237467.

Almost surely, 2^{86843155097088} 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 86843155097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153448655532480).

86843155097088 is an abundant number, since it is smaller than the sum of its proper divisors (220054155967872).

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

86843155097088 is a wasteful number, since it uses less digits than its factorization.

86843155097088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 86843155097088 in words is "eighty-six trillion, eight hundred forty-three billion, one hundred fifty-five million, ninety-seven thousand, eighty-eight".