86873711820 has 192 divisors, whose sum is σ = 285721261056. Its totient is φ = 19308257280.

The previous prime is 86873711819. The next prime is 86873711839. The reversal of 86873711820 is 2811737868.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5278324 + ... + 5294756.

It is an arithmetic number, because the mean of its divisors is an integer number (1488131568).

Almost surely, 2^86873711820 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 86873711820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142860630528).

86873711820 is an abundant number, since it is smaller than the sum of its proper divisors (198847549236).

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

86873711820 is a wasteful number, since it uses less digits than its factorization.

86873711820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800 (or 16798 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 86873711820 in words is "eighty-six billion, eight hundred seventy-three million, seven hundred eleven thousand, eight hundred twenty".