864008553600 has 768 divisors, whose sum is σ = 3443418000000. Its totient is φ = 210737479680.

The previous prime is 864008553479. The next prime is 864008553631. The reversal of 864008553600 is 6355800468.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47597326 + ... + 47615474.

Almost surely, 2^864008553600 is an apocalyptic number.

864008553600 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 864008553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721709000000).

864008553600 is an abundant number, since it is smaller than the sum of its proper divisors (2579409446400).

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

864008553600 is a wasteful number, since it uses less digits than its factorization.

864008553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18230 (or 18207 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 864008553600 in words is "eight hundred sixty-four billion, eight million, five hundred fifty-three thousand, six hundred".