86859515952 has 120 divisors (see below), whose sum is σ = 265799269008. Its totient is φ = 26260070400.

The previous prime is 86859515921. The next prime is 86859515957. The reversal of 86859515952 is 25951595868.

86859515952 is a `hidden beast` number, since 8 + 68 + 5 + 9 + 515 + 9 + 52 = 666.

It is a super-2 number, since 2×86859515952² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86859515952.

It is not an unprimeable number, because it can be changed into a prime (86859515957) 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, 622552 + ... + 749192.

Almost surely, 2^86859515952 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 86859515952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132899634504).

86859515952 is an abundant number, since it is smaller than the sum of its proper divisors (178939753056).

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

86859515952 is a wasteful number, since it uses less digits than its factorization.

86859515952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127099 (or 127090 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 63.

The spelling of 86859515952 in words is "eighty-six billion, eight hundred fifty-nine million, five hundred fifteen thousand, nine hundred fifty-two".