86738814200 has 96 divisors (see below), whose sum is σ = 205743706560. Its totient is φ = 33996019200.

The previous prime is 86738814157. The next prime is 86738814229. The reversal of 86738814200 is 241883768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8697617 + ... + 8707583.

It is an arithmetic number, because the mean of its divisors is an integer number (2143163610).

Almost surely, 2^86738814200 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 86738814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102871853280).

86738814200 is an abundant number, since it is smaller than the sum of its proper divisors (119004892360).

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

86738814200 is a wasteful number, since it uses less digits than its factorization.

86738814200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 86738814200 in words is "eighty-six billion, seven hundred thirty-eight million, eight hundred fourteen thousand, two hundred".