86019264000 has 960 divisors, whose sum is σ = 333005257728. Its totient is φ = 21288960000.

The previous prime is 86019263983. The next prime is 86019264011. The reversal of 86019264000 is 46291068.

86019264000 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 9 + 2 + 640 + 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 (36).

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, 569663925 + ... + 569664075.

Almost surely, 2^86019264000 is an apocalyptic number.

86019264000 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 86019264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166502628864).

86019264000 is an abundant number, since it is smaller than the sum of its proper divisors (246985993728).

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

86019264000 is a wasteful number, since it uses less digits than its factorization.

86019264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 86019264000 in words is "eighty-six billion, nineteen million, two hundred sixty-four thousand".