81853041600 has 1008 divisors, whose sum is σ = 340275854880. Its totient is φ = 18441830400.

The previous prime is 81853041553. The next prime is 81853041679. The reversal of 81853041600 is 614035818.

81853041600 is a `hidden beast` number, since 8 + 1 + 8 + 5 + 3 + 0 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 304286266 + ... + 304286534.

Almost surely, 2^81853041600 is an apocalyptic number.

81853041600 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 81853041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170137927440).

81853041600 is an abundant number, since it is smaller than the sum of its proper divisors (258422813280).

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

81853041600 is a wasteful number, since it uses less digits than its factorization.

81853041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 81853041600 in words is "eighty-one billion, eight hundred fifty-three million, forty-one thousand, six hundred".