86796687744 has 192 divisors, whose sum is σ = 275541739200. Its totient is φ = 26055106560.

The previous prime is 86796687629. The next prime is 86796687749. The reversal of 86796687744 is 44778669768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 (86796687749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543337 + ... + 684695.

It is an arithmetic number, because the mean of its divisors is an integer number (1435113225).

Almost surely, 2^86796687744 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 86796687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137770869600).

86796687744 is an abundant number, since it is smaller than the sum of its proper divisors (188745051456).

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

86796687744 is a wasteful number, since it uses less digits than its factorization.

86796687744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141433 (or 141418 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 86796687744 in words is "eighty-six billion, seven hundred ninety-six million, six hundred eighty-seven thousand, seven hundred forty-four".