86362619904 has 816 divisors, whose sum is σ = 309159789120. Its totient is φ = 23781703680.

The previous prime is 86362619899. The next prime is 86362619927. The reversal of 86362619904 is 40991626368.

86362619904 is a `hidden beast` number, since 8 + 6 + 3 + 626 + 1 + 9 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 2978021362 + ... + 2978021390.

Almost surely, 2^86362619904 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 86362619904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154579894560).

86362619904 is an abundant number, since it is smaller than the sum of its proper divisors (222797169216).

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

86362619904 is an equidigital number, since it uses as much as digits as its factorization.

86362619904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

It can be divided in two parts, 86362 and 619904, that added together give a triangular number (706266 = T₁₁₈₈).

The spelling of 86362619904 in words is "eighty-six billion, three hundred sixty-two million, six hundred nineteen thousand, nine hundred four".