86072716800 has 960 divisors, whose sum is σ = 369230653440. Its totient is φ = 19229736960.

The previous prime is 86072716783. The next prime is 86072716831. The reversal of 86072716800 is 861727068.

86072716800 is a `hidden beast` number, since 8 + 607 + 27 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113702022 + ... + 113702778.

It is an arithmetic number, because the mean of its divisors is an integer number (384615264).

Almost surely, 2^86072716800 is an apocalyptic number.

86072716800 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 86072716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184615326720).

86072716800 is an abundant number, since it is smaller than the sum of its proper divisors (283157936640).

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

86072716800 is a wasteful number, since it uses less digits than its factorization.

86072716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 86072716800 in words is "eighty-six billion, seventy-two million, seven hundred sixteen thousand, eight hundred".