11129537408 has 192 divisors, whose sum is σ = 25639740000. Its totient is φ = 4801843200.

The previous prime is 11129537389. The next prime is 11129537449. The reversal of 11129537408 is 80473592111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31889618 + ... + 31889966.

Almost surely, 2^11129537408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11129537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819870000).

11129537408 is an abundant number, since it is smaller than the sum of its proper divisors (14510202592).

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

11129537408 is a wasteful number, since it uses less digits than its factorization.

11129537408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 11129537408 in words is "eleven billion, one hundred twenty-nine million, five hundred thirty-seven thousand, four hundred eight".