815968543200 has 576 divisors, whose sum is σ = 2966637623040. Its totient is φ = 193593507840.

The previous prime is 815968543177. The next prime is 815968543207. The reversal of 815968543200 is 2345869518.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815968543207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498452782 + ... + 498454418.

It is an arithmetic number, because the mean of its divisors is an integer number (5150412540).

Almost surely, 2^815968543200 is an apocalyptic number.

815968543200 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 815968543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483318811520).

815968543200 is an abundant number, since it is smaller than the sum of its proper divisors (2150669079840).

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

815968543200 is a wasteful number, since it uses less digits than its factorization.

815968543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 815968543200 in words is "eight hundred fifteen billion, nine hundred sixty-eight million, five hundred forty-three thousand, two hundred".