81837787160800 has 288 divisors, whose sum is σ = 219468534614784. Its totient is φ = 29552409600000.

The previous prime is 81837787160783. The next prime is 81837787160803. The reversal of 81837787160800 is 806178773818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81837787160803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744310629 + ... + 744420571.

It is an arithmetic number, because the mean of its divisors is an integer number (762043522968).

Almost surely, 2^{81837787160800} is an apocalyptic number.

81837787160800 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 81837787160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734267307392).

81837787160800 is an abundant number, since it is smaller than the sum of its proper divisors (137630747453984).

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

81837787160800 is a wasteful number, since it uses less digits than its factorization.

81837787160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110562 (or 110549 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 64.

The spelling of 81837787160800 in words is "eighty-one trillion, eight hundred thirty-seven billion, seven hundred eighty-seven million, one hundred sixty thousand, eight hundred".