86611642416 has 480 divisors, whose sum is σ = 278037760000. Its totient is φ = 25939989504.

The previous prime is 86611642361. The next prime is 86611642457. The reversal of 86611642416 is 61424611668.

86611642416 is a `hidden beast` number, since 8 + 6 + 611 + 6 + 4 + 24 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435234285 + ... + 435234483.

Almost surely, 2^86611642416 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 86611642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139018880000).

86611642416 is an abundant number, since it is smaller than the sum of its proper divisors (191426117584).

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

86611642416 is a wasteful number, since it uses less digits than its factorization.

86611642416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 86611642416 in words is "eighty-six billion, six hundred eleven million, six hundred forty-two thousand, four hundred sixteen".