86947734720 has 448 divisors, whose sum is σ = 347057667072. Its totient is φ = 18065203200.

The previous prime is 86947734719. The next prime is 86947734743. The reversal of 86947734720 is 2743774968.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8939460 + ... + 8949180.

Almost surely, 2^86947734720 is an apocalyptic number.

86947734720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86947734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173528833536).

86947734720 is an abundant number, since it is smaller than the sum of its proper divisors (260109932352).

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

86947734720 is a wasteful number, since it uses less digits than its factorization.

86947734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 86947734720 in words is "eighty-six billion, nine hundred forty-seven million, seven hundred thirty-four thousand, seven hundred twenty".