86253133824 has 784 divisors, whose sum is σ = 306847823184. Its totient is φ = 23887872000.

The previous prime is 86253133753. The next prime is 86253133829. The reversal of 86253133824 is 42833135268.

86253133824 is a `hidden beast` number, since 8 + 6 + 2 + 531 + 33 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86253133824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86253133829) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 853991374 + ... + 853991474.

Almost surely, 2^86253133824 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 86253133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153423911592).

86253133824 is an abundant number, since it is smaller than the sum of its proper divisors (220594689360).

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

86253133824 is a wasteful number, since it uses less digits than its factorization.

86253133824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 86253133824 in words is "eighty-six billion, two hundred fifty-three million, one hundred thirty-three thousand, eight hundred twenty-four".