11129517897120 has 1920 divisors, whose sum is σ = 48298449830400. Its totient is φ = 2355917488128.

The previous prime is 11129517897077. The next prime is 11129517897149. The reversal of 11129517897120 is 2179871592111.

It is a happy number.

11129517897120 is a `hidden beast` number, since 1 + 1 + 1 + 29 + 517 + 8 + 97 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41373672346 + ... + 41373672614.

It is an arithmetic number, because the mean of its divisors is an integer number (25155442620).

Almost surely, 2^{11129517897120} is an apocalyptic number.

11129517897120 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 11129517897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149224915200).

11129517897120 is an abundant number, since it is smaller than the sum of its proper divisors (37168931933280).

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

11129517897120 is a wasteful number, since it uses less digits than its factorization.

11129517897120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 54.

The spelling of 11129517897120 in words is "eleven trillion, one hundred twenty-nine billion, five hundred seventeen million, eight hundred ninety-seven thousand, one hundred twenty".