86861279232 has 936 divisors, whose sum is σ = 328337348976. Its totient is φ = 22741254144.

The previous prime is 86861279227. The next prime is 86861279353. The reversal of 86861279232 is 23297216868.

86861279232 is a `hidden beast` number, since 86 + 8 + 61 + 279 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634023868 + ... + 634024004.

It is an arithmetic number, because the mean of its divisors is an integer number (350787766).

Almost surely, 2^86861279232 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 86861279232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164168674488).

86861279232 is an abundant number, since it is smaller than the sum of its proper divisors (241476069744).

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

86861279232 is a wasteful number, since it uses less digits than its factorization.

86861279232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 162 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 86861279232 in words is "eighty-six billion, eight hundred sixty-one million, two hundred seventy-nine thousand, two hundred thirty-two".