86048678356992 has 480 divisors, whose sum is σ = 293073777196200. Its totient is φ = 24919063658496.

The previous prime is 86048678356967. The next prime is 86048678357023. The reversal of 86048678356992 is 29965387684068.

It is a happy number.

86048678356992 is a `hidden beast` number, since 8 + 6 + 0 + 48 + 6 + 7 + 8 + 3 + 569 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73247853782016 + 12800824574976 = 8558496^2 + 3577824^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35487684 + ... + 37834812.

Almost surely, 2^{86048678356992} 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 86048678356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146536888598100).

86048678356992 is an abundant number, since it is smaller than the sum of its proper divisors (207025098839208).

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

86048678356992 is a wasteful number, since it uses less digits than its factorization.

86048678356992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347193 (or 2347164 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 86048678356992 in words is "eighty-six trillion, forty-eight billion, six hundred seventy-eight million, three hundred fifty-six thousand, nine hundred ninety-two".