11831125680 has 480 divisors, whose sum is σ = 45737572608. Its totient is φ = 2818022400.

The previous prime is 11831125601. The next prime is 11831125697. The reversal of 11831125680 is 8652113811.

11831125680 is a `hidden beast` number, since 1 + 1 + 83 + 1 + 12 + 568 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13043787 + ... + 13044693.

Almost surely, 2^11831125680 is an apocalyptic number.

11831125680 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 11831125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22868786304).

11831125680 is an abundant number, since it is smaller than the sum of its proper divisors (33906446928).

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

11831125680 is a wasteful number, since it uses less digits than its factorization.

11831125680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11831125680 in words is "eleven billion, eight hundred thirty-one million, one hundred twenty-five thousand, six hundred eighty".