86995128240 has 480 divisors, whose sum is σ = 322370081280. Its totient is φ = 20926439424.

The previous prime is 86995128193. The next prime is 86995128281. The reversal of 86995128240 is 4282159968.

It is a happy number.

86995128240 is a `hidden beast` number, since 8 + 6 + 9 + 9 + 512 + 82 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89042632 + ... + 89043608.

It is an arithmetic number, because the mean of its divisors is an integer number (671604336).

Almost surely, 2^86995128240 is an apocalyptic number.

86995128240 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 86995128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161185040640).

86995128240 is an abundant number, since it is smaller than the sum of its proper divisors (235374953040).

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

86995128240 is a wasteful number, since it uses less digits than its factorization.

86995128240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 86995128240 in words is "eighty-six billion, nine hundred ninety-five million, one hundred twenty-eight thousand, two hundred forty".