11882370024 has 192 divisors, whose sum is σ = 38817792000. Its totient is φ = 3207703680.

The previous prime is 11882370007. The next prime is 11882370037. The reversal of 11882370024 is 42007328811.

11882370024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4125817 + ... + 4128695.

It is an arithmetic number, because the mean of its divisors is an integer number (202176000).

Almost surely, 2^11882370024 is an apocalyptic number.

11882370024 is a gapful number since it is divisible by the number (14) 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 11882370024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408896000).

11882370024 is an abundant number, since it is smaller than the sum of its proper divisors (26935421976).

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

11882370024 is a wasteful number, since it uses less digits than its factorization.

11882370024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 11882370024 its reverse (42007328811), we get a palindrome (53889698835).

The spelling of 11882370024 in words is "eleven billion, eight hundred eighty-two million, three hundred seventy thousand, twenty-four".