86835713040 has 800 divisors, whose sum is σ = 330762579840. Its totient is φ = 21030617088.

The previous prime is 86835713011. The next prime is 86835713059. The reversal of 86835713040 is 4031753868.

86835713040 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 571 + 30 + 40 = 666.

It is a Cunningham number, because it is equal to 294679²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 624717291 + ... + 624717429.

Almost surely, 2^86835713040 is an apocalyptic number.

86835713040 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 86835713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165381289920).

86835713040 is an abundant number, since it is smaller than the sum of its proper divisors (243926866800).

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

86835713040 is a wasteful number, since it uses less digits than its factorization.

86835713040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 86835713040 in words is "eighty-six billion, eight hundred thirty-five million, seven hundred thirteen thousand, forty".