1129637808000 has 768 divisors, whose sum is σ = 4381334193600. Its totient is φ = 277272576000.

The previous prime is 1129637807983. The next prime is 1129637808029. The reversal of 1129637808000 is 8087369211.

1129637808000 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 637 + 8 + 0 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 919151386 + ... + 919152614.

Almost surely, 2^{1129637808000} is an apocalyptic number.

1129637808000 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 1129637808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190667096800).

1129637808000 is an abundant number, since it is smaller than the sum of its proper divisors (3251696385600).

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

1129637808000 is a wasteful number, since it uses less digits than its factorization.

1129637808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1129637808000 in words is "one trillion, one hundred twenty-nine billion, six hundred thirty-seven million, eight hundred eight thousand".