864216852576 has 1152 divisors, whose sum is σ = 3157230182400. Its totient is φ = 203959848960.

The previous prime is 864216852539. The next prime is 864216852643. The reversal of 864216852576 is 675258612468.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (38707200) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2726235970 + ... + 2726236286.

It is an arithmetic number, because the mean of its divisors is an integer number (2740651200).

Almost surely, 2^864216852576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864216852576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578615091200).

864216852576 is an abundant number, since it is smaller than the sum of its proper divisors (2293013329824).

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

864216852576 is a wasteful number, since it uses less digits than its factorization.

864216852576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 864216852576 in words is "eight hundred sixty-four billion, two hundred sixteen million, eight hundred fifty-two thousand, five hundred seventy-six".