11845295920 has 80 divisors (see below), whose sum is σ = 29409189120. Its totient is φ = 4427136000.

The previous prime is 11845295899. The next prime is 11845295923. The reversal of 11845295920 is 2959254811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11845295920² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11845295923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10431 + ... + 154270.

It is an arithmetic number, because the mean of its divisors is an integer number (367614864).

Almost surely, 2^11845295920 is an apocalyptic number.

11845295920 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 11845295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704594560).

11845295920 is an abundant number, since it is smaller than the sum of its proper divisors (17563893200).

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

11845295920 is a wasteful number, since it uses less digits than its factorization.

11845295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164774 (or 164768 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 11845295920 in words is "eleven billion, eight hundred forty-five million, two hundred ninety-five thousand, nine hundred twenty".