86712821640 has 192 divisors, whose sum is σ = 295469216640. Its totient is φ = 22012784640.

The previous prime is 86712821633. The next prime is 86712821641. The reversal of 86712821640 is 4612821768.

It is a super-2 number, since 2×86712821640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86712821641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722264 + ... + 1771896.

It is an arithmetic number, because the mean of its divisors is an integer number (1538902170).

Almost surely, 2^86712821640 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 86712821640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147734608320).

86712821640 is an abundant number, since it is smaller than the sum of its proper divisors (208756395000).

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

86712821640 is a wasteful number, since it uses less digits than its factorization.

86712821640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49884 (or 49877 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 86712821640 in words is "eighty-six billion, seven hundred twelve million, eight hundred twenty-one thousand, six hundred forty".