86701728960 has 1344 divisors, whose sum is σ = 387998208000. Its totient is φ = 17611776000.

The previous prime is 86701728943. The next prime is 86701728973. The reversal of 86701728960 is 6982710768.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 86701728897 and 86701728906.

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 191 ways as a sum of consecutive naturals, for example, 858432910 + ... + 858433010.

Almost surely, 2^86701728960 is an apocalyptic number.

86701728960 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 86701728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193999104000).

86701728960 is an abundant number, since it is smaller than the sum of its proper divisors (301296479040).

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

86701728960 is a wasteful number, since it uses less digits than its factorization.

86701728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 86701728960 in words is "eighty-six billion, seven hundred one million, seven hundred twenty-eight thousand, nine hundred sixty".