86984856934080 has 672 divisors, whose sum is σ = 340241179954176. Its totient is φ = 18708523352064.

The previous prime is 86984856934057. The next prime is 86984856934099. The reversal of 86984856934080 is 8043965848968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 86984856933987 and 86984856934005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4720501827 + ... + 4720520253.

Almost surely, 2^{86984856934080} is an apocalyptic number.

86984856934080 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 86984856934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170120589977088).

86984856934080 is an abundant number, since it is smaller than the sum of its proper divisors (253256323020096).

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

86984856934080 is a wasteful number, since it uses less digits than its factorization.

86984856934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24381 (or 24364 counting only the distinct ones).

The product of its (nonzero) digits is 2866544640, while the sum is 78.

The spelling of 86984856934080 in words is "eighty-six trillion, nine hundred eighty-four billion, eight hundred fifty-six million, nine hundred thirty-four thousand, eighty".