86388962688 has 384 divisors, whose sum is σ = 297414374400. Its totient is φ = 23533424640.

The previous prime is 86388962677. The next prime is 86388962729. The reversal of 86388962688 is 88626988368.

86388962688 is a `hidden beast` number, since 86 + 388 + 96 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81421678 + ... + 81422738.

It is an arithmetic number, because the mean of its divisors is an integer number (774516600).

Almost surely, 2^86388962688 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 86388962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148707187200).

86388962688 is an abundant number, since it is smaller than the sum of its proper divisors (211025411712).

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

86388962688 is a wasteful number, since it uses less digits than its factorization.

86388962688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1535 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 72.

It can be divided in two parts, 86388 and 962688, that added together give a triangular number (1049076 = T₁₄₄₈).

The spelling of 86388962688 in words is "eighty-six billion, three hundred eighty-eight million, nine hundred sixty-two thousand, six hundred eighty-eight".