86726764800 has 1080 divisors, whose sum is σ = 366132019176. Its totient is φ = 20065812480.

The previous prime is 86726764799. The next prime is 86726764843. The reversal of 86726764800 is 846762768.

It can be written as a sum of positive squares in 12 ways, for example, as 21616056576 + 65110708224 = 147024^2 + 255168^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 114566022 + ... + 114566778.

Almost surely, 2^86726764800 is an apocalyptic number.

86726764800 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 86726764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183066009588).

86726764800 is an abundant number, since it is smaller than the sum of its proper divisors (279405254376).

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

86726764800 is a wasteful number, since it uses less digits than its factorization.

86726764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 86726764800 in words is "eighty-six billion, seven hundred twenty-six million, seven hundred sixty-four thousand, eight hundred".