86861906700 has 432 divisors, whose sum is σ = 278231254560. Its totient is φ = 20896911360.

The previous prime is 86861906699. The next prime is 86861906701. The reversal of 86861906700 is 760916868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86861906699) and next prime (86861906701).

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

It is not an unprimeable number, because it can be changed into a prime (86861906701) 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 143 ways as a sum of consecutive naturals, for example, 212376096 + ... + 212376504.

It is an arithmetic number, because the mean of its divisors is an integer number (644053830).

Almost surely, 2^86861906700 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 86861906700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139115627280).

86861906700 is an abundant number, since it is smaller than the sum of its proper divisors (191369347860).

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

86861906700 is a wasteful number, since it uses less digits than its factorization.

86861906700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 86861906700 in words is "eighty-six billion, eight hundred sixty-one million, nine hundred six thousand, seven hundred".