11873291040 has 576 divisors, whose sum is σ = 45845654400. Its totient is φ = 2901629952.

The previous prime is 11873291029. The next prime is 11873291047. The reversal of 11873291040 is 4019237811.

It is a happy number.

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 = 11873290986 and 11873291004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11873291047) 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 95 ways as a sum of consecutive naturals, for example, 85419291 + ... + 85419429.

It is an arithmetic number, because the mean of its divisors is an integer number (79593150).

Almost surely, 2^11873291040 is an apocalyptic number.

11873291040 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 11873291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22922827200).

11873291040 is an abundant number, since it is smaller than the sum of its proper divisors (33972363360).

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

11873291040 is an equidigital number, since it uses as much as digits as its factorization.

11873291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11873291040 in words is "eleven billion, eight hundred seventy-three million, two hundred ninety-one thousand, forty".