86682725995008 has 1440 divisors, whose sum is σ = 289998878133888. Its totient is φ = 22935046717440.

The previous prime is 86682725994989. The next prime is 86682725995171. The reversal of 86682725995008 is 80059952728668.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70074959766 + ... + 70074961002.

Almost surely, 2^{86682725995008} is an apocalyptic number.

86682725995008 is a gapful number since it is divisible by the number (88) 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 86682725995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144999439066944).

86682725995008 is an abundant number, since it is smaller than the sum of its proper divisors (203316152138880).

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

86682725995008 is a wasteful number, since it uses less digits than its factorization.

86682725995008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 75.

The spelling of 86682725995008 in words is "eighty-six trillion, six hundred eighty-two billion, seven hundred twenty-five million, nine hundred ninety-five thousand, eight".