86252709816000 has 2016 divisors, whose sum is σ = 398620357911360. Its totient is φ = 18197996544000.

The previous prime is 86252709815999. The next prime is 86252709816041. The reversal of 86252709816000 is 61890725268.

86252709816000 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 27 + 0 + 9 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1788671890 + ... + 1788720110.

Almost surely, 2^{86252709816000} is an apocalyptic number.

86252709816000 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 86252709816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199310178955680).

86252709816000 is an abundant number, since it is smaller than the sum of its proper divisors (312367648095360).

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

86252709816000 is a wasteful number, since it uses less digits than its factorization.

86252709816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48297 (or 48251 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 86252709816000 in words is "eighty-six trillion, two hundred fifty-two billion, seven hundred nine million, eight hundred sixteen thousand".