86623551360 has 384 divisors, whose sum is σ = 311422980960. Its totient is φ = 23008665600.

The previous prime is 86623551341. The next prime is 86623551361. The reversal of 86623551360 is 6315532668.

86623551360 is a `hidden beast` number, since 8 + 6 + 6 + 235 + 51 + 360 = 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86623551361) by changing a digit.

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, 45566410 + ... + 45568310.

Almost surely, 2^86623551360 is an apocalyptic number.

86623551360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86623551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155711490480).

86623551360 is an abundant number, since it is smaller than the sum of its proper divisors (224799429600).

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

86623551360 is a wasteful number, since it uses less digits than its factorization.

86623551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 86623551360 in words is "eighty-six billion, six hundred twenty-three million, five hundred fifty-one thousand, three hundred sixty".