864451082880 has 1536 divisors, whose sum is σ = 3812769792000. Its totient is φ = 175297167360.

The previous prime is 864451082867. The next prime is 864451082933. The reversal of 864451082880 is 88280154468.

864451082880 is a `hidden beast` number, since 8 + 6 + 44 + 510 + 8 + 2 + 8 + 80 = 666.

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, 5801685046 + ... + 5801685194.

It is an arithmetic number, because the mean of its divisors is an integer number (2482272000).

Almost surely, 2^864451082880 is an apocalyptic number.

864451082880 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 864451082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906384896000).

864451082880 is an abundant number, since it is smaller than the sum of its proper divisors (2948318709120).

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

864451082880 is a wasteful number, since it uses less digits than its factorization.

864451082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 864451082880 in words is "eight hundred sixty-four billion, four hundred fifty-one million, eighty-two thousand, eight hundred eighty".