81869611200 has 336 divisors, whose sum is σ = 298600221696. Its totient is φ = 19501977600.

The previous prime is 81869611181. The next prime is 81869611217. The reversal of 81869611200 is 211696818.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913239 + ... + 1955561.

It is an arithmetic number, because the mean of its divisors is an integer number (888691136).

Almost surely, 2^81869611200 is an apocalyptic number.

81869611200 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 81869611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149300110848).

81869611200 is an abundant number, since it is smaller than the sum of its proper divisors (216730610496).

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

81869611200 is a wasteful number, since it uses less digits than its factorization.

81869611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42392 (or 42377 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 81869611200 in words is "eighty-one billion, eight hundred sixty-nine million, six hundred eleven thousand, two hundred".