86256978240 has 448 divisors, whose sum is σ = 300215808000. Its totient is φ = 20899307520.

The previous prime is 86256978209. The next prime is 86256978257. The reversal of 86256978240 is 4287965268.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94683385 + ... + 94684295.

Almost surely, 2^86256978240 is an apocalyptic number.

86256978240 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 86256978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150107904000).

86256978240 is an abundant number, since it is smaller than the sum of its proper divisors (213958829760).

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

86256978240 is a wasteful number, since it uses less digits than its factorization.

86256978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 86256978240 in words is "eighty-six billion, two hundred fifty-six million, nine hundred seventy-eight thousand, two hundred forty".