11825722080 has 144 divisors (see below), whose sum is σ = 41746985280. Its totient is φ = 3044772864.

The previous prime is 11825722079. The next prime is 11825722081. The reversal of 11825722080 is 8022752811.

11825722080 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 572 + 2 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11825722079) and next prime (11825722081).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11825722081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99832 + ... + 183351.

It is an arithmetic number, because the mean of its divisors is an integer number (289909620).

Almost surely, 2^11825722080 is an apocalyptic number.

11825722080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11825722080 is an abundant number, since it is smaller than the sum of its proper divisors (29921263200).

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

11825722080 is a wasteful number, since it uses less digits than its factorization.

11825722080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283233 (or 283222 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 11825722080 in words is "eleven billion, eight hundred twenty-five million, seven hundred twenty-two thousand, eighty".