86943454752 has 192 divisors, whose sum is σ = 287063046144. Its totient is φ = 22382653440.

The previous prime is 86943454751. The next prime is 86943454753. The reversal of 86943454752 is 25745434968.

It is an interprime number because it is at equal distance from previous prime (86943454751) and next prime (86943454753).

It is a junction number, because it is equal to n+sod(n) for n = 86943454692 and 86943454701.

It is not an unprimeable number, because it can be changed into a prime (86943454751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783253 + ... + 887339.

It is an arithmetic number, because the mean of its divisors is an integer number (1495120032).

Almost surely, 2^86943454752 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 86943454752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143531523072).

86943454752 is an abundant number, since it is smaller than the sum of its proper divisors (200119591392).

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

86943454752 is a wasteful number, since it uses less digits than its factorization.

86943454752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104231 (or 104223 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 86943454752 in words is "eighty-six billion, nine hundred forty-three million, four hundred fifty-four thousand, seven hundred fifty-two".