11534874420 has 192 divisors, whose sum is σ = 34111881216. Its totient is φ = 2909437440.

The previous prime is 11534874419. The next prime is 11534874469. The reversal of 11534874420 is 2447843511.

11534874420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10611117 + ... + 10612203.

It is an arithmetic number, because the mean of its divisors is an integer number (177666048).

Almost surely, 2^11534874420 is an apocalyptic number.

11534874420 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 11534874420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055940608).

11534874420 is an abundant number, since it is smaller than the sum of its proper divisors (22577006796).

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

11534874420 is a wasteful number, since it uses less digits than its factorization.

11534874420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 11534874420 in words is "eleven billion, five hundred thirty-four million, eight hundred seventy-four thousand, four hundred twenty".