81824351040 has 896 divisors, whose sum is σ = 325655147520. Its totient is φ = 19230621696.

The previous prime is 81824351009. The next prime is 81824351047. The reversal of 81824351040 is 4015342818.

81824351040 is a `hidden beast` number, since 8 + 182 + 435 + 1 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 81824350986 and 81824351004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81824351047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179046492 + ... + 179046948.

Almost surely, 2^81824351040 is an apocalyptic number.

81824351040 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 81824351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162827573760).

81824351040 is an abundant number, since it is smaller than the sum of its proper divisors (243830796480).

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

81824351040 is a wasteful number, since it uses less digits than its factorization.

81824351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 81824351040 its reverse (4015342818), we get a palindrome (85839693858).

The spelling of 81824351040 in words is "eighty-one billion, eight hundred twenty-four million, three hundred fifty-one thousand, forty".