181040525820 has 576 divisors, whose sum is σ = 712472656896. Its totient is φ = 37489029120.

The previous prime is 181040525803. The next prime is 181040525839. The reversal of 181040525820 is 28525040181.

181040525820 is a `hidden beast` number, since 1 + 8 + 10 + 40 + 525 + 82 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 139583412 + ... + 139584708.

It is an arithmetic number, because the mean of its divisors is an integer number (1236931696).

Almost surely, 2^181040525820 is an apocalyptic number.

181040525820 is a gapful number since it is divisible by the number (10) 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 181040525820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356236328448).

181040525820 is an abundant number, since it is smaller than the sum of its proper divisors (531432131076).

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

181040525820 is a wasteful number, since it uses less digits than its factorization.

181040525820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 181040525820 in words is "one hundred eighty-one billion, forty million, five hundred twenty-five thousand, eight hundred twenty".