81834652500 has 240 divisors, whose sum is σ = 247216865280. Its totient is φ = 21040560000.

The previous prime is 81834652499. The next prime is 81834652507. The reversal of 81834652500 is 525643818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81834652507) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 89047041 + ... + 89047959.

It is an arithmetic number, because the mean of its divisors is an integer number (1030070272).

Almost surely, 2^81834652500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81834652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123608432640).

81834652500 is an abundant number, since it is smaller than the sum of its proper divisors (165382212780).

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

81834652500 is a wasteful number, since it uses less digits than its factorization.

81834652500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 81834652500 in words is "eighty-one billion, eight hundred thirty-four million, six hundred fifty-two thousand, five hundred".