86258952553008 has 80 divisors (see below), whose sum is σ = 224846890815456. Its totient is φ = 28493555220480.

The previous prime is 86258952552863. The next prime is 86258952553093. The reversal of 86258952553008 is 80035525985268.

It is a super-2 number, since 2×86258952553008² (a number of 29 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 86258952553008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29731468 + ... + 32503508.

Almost surely, 2^{86258952553008} 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 86258952553008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112423445407728).

86258952553008 is an abundant number, since it is smaller than the sum of its proper divisors (138587938262448).

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

86258952553008 is a wasteful number, since it uses less digits than its factorization.

86258952553008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777902 (or 2777896 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 66.

The spelling of 86258952553008 in words is "eighty-six trillion, two hundred fifty-eight billion, nine hundred fifty-two million, five hundred fifty-three thousand, eight".