86719949568 has 1152 divisors, whose sum is σ = 339075072000. Its totient is φ = 21260206080.

The previous prime is 86719949543. The next prime is 86719949579. The reversal of 86719949568 is 86594991768.

86719949568 is a `hidden beast` number, since 8 + 6 + 7 + 19 + 9 + 49 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 86719949496 and 86719949505.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 484468903 + ... + 484469081.

It is an arithmetic number, because the mean of its divisors is an integer number (294336000).

Almost surely, 2^86719949568 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 86719949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169537536000).

86719949568 is an abundant number, since it is smaller than the sum of its proper divisors (252355122432).

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

86719949568 is a wasteful number, since it uses less digits than its factorization.

86719949568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 86719949568 in words is "eighty-six billion, seven hundred nineteen million, nine hundred forty-nine thousand, five hundred sixty-eight".