81794685600 has 288 divisors, whose sum is σ = 306027288000. Its totient is φ = 21059619840.

The previous prime is 81794685541. The next prime is 81794685641. The reversal of 81794685600 is 658649718.

81794685600 is a `hidden beast` number, since 8 + 1 + 79 + 4 + 6 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 561111 + ... + 691689.

It is an arithmetic number, because the mean of its divisors is an integer number (1062594750).

Almost surely, 2^81794685600 is an apocalyptic number.

81794685600 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 81794685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153013644000).

81794685600 is an abundant number, since it is smaller than the sum of its proper divisors (224232602400).

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

81794685600 is a wasteful number, since it uses less digits than its factorization.

81794685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130637 (or 130618 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 81794685600 in words is "eighty-one billion, seven hundred ninety-four million, six hundred eighty-five thousand, six hundred".