81383779200 has 768 divisors, whose sum is σ = 299909376000. Its totient is φ = 19309363200.

The previous prime is 81383779199. The next prime is 81383779223. The reversal of 81383779200 is 297738318.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 81383779200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209212606 + ... + 209212994.

It is an arithmetic number, because the mean of its divisors is an integer number (390507000).

Almost surely, 2^81383779200 is an apocalyptic number.

81383779200 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 81383779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149954688000).

81383779200 is an abundant number, since it is smaller than the sum of its proper divisors (218525596800).

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

81383779200 is a wasteful number, since it uses less digits than its factorization.

81383779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 81383779200 in words is "eighty-one billion, three hundred eighty-three million, seven hundred seventy-nine thousand, two hundred".