86796768240 has 1600 divisors, whose sum is σ = 400081059840. Its totient is φ = 16930529280.

The previous prime is 86796768239. The next prime is 86796768277. The reversal of 86796768240 is 4286769768.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 683439057 + ... + 683439183.

Almost surely, 2^86796768240 is an apocalyptic number.

86796768240 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 86796768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200040529920).

86796768240 is an abundant number, since it is smaller than the sum of its proper divisors (313284291600).

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

86796768240 is a wasteful number, since it uses less digits than its factorization.

86796768240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 86796768240 in words is "eighty-six billion, seven hundred ninety-six million, seven hundred sixty-eight thousand, two hundred forty".