86689848960 has 1536 divisors, whose sum is σ = 383980746240. Its totient is φ = 17694720000.

The previous prime is 86689848901. The next prime is 86689848979. The reversal of 86689848960 is 6984898668.

86689848960 is a `hidden beast` number, since 8 + 6 + 6 + 89 + 8 + 489 + 60 = 666.

It is a super-2 number, since 2×86689848960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 574104885 + ... + 574105035.

It is an arithmetic number, because the mean of its divisors is an integer number (249987465).

Almost surely, 2^86689848960 is an apocalyptic number.

86689848960 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 86689848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990373120).

86689848960 is an abundant number, since it is smaller than the sum of its proper divisors (297290897280).

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

86689848960 is a wasteful number, since it uses less digits than its factorization.

86689848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 86689848960 in words is "eighty-six billion, six hundred eighty-nine million, eight hundred forty-eight thousand, nine hundred sixty".