11800131840 has 720 divisors, whose sum is σ = 49148225280. Its totient is φ = 2647572480.

The previous prime is 11800131757. The next prime is 11800131881. The reversal of 11800131840 is 4813100811.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×11800131840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51528846 + ... + 51529074.

It is an arithmetic number, because the mean of its divisors is an integer number (68261424).

Almost surely, 2^11800131840 is an apocalyptic number.

11800131840 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 11800131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24574112640).

11800131840 is an abundant number, since it is smaller than the sum of its proper divisors (37348093440).

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

11800131840 is an equidigital number, since it uses as much as digits as its factorization.

11800131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 11800131840 in words is "eleven billion, eight hundred million, one hundred thirty-one thousand, eight hundred forty".