11029133606400 has 1080 divisors, whose sum is σ = 48846257768880. Its totient is φ = 2326997237760.

The previous prime is 11029133606399. The next prime is 11029133606419. The reversal of 11029133606400 is 460633192011.

11029133606400 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 9 + 1 + 3 + 3 + 6 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136241136 + ... + 136322064.

Almost surely, 2^{11029133606400} is an apocalyptic number.

11029133606400 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 11029133606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24423128884440).

11029133606400 is an abundant number, since it is smaller than the sum of its proper divisors (37817124162480).

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

11029133606400 is a wasteful number, since it uses less digits than its factorization.

11029133606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80996 (or 80959 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 11029133606400 its reverse (460633192011), we get a palindrome (11489766798411).

The spelling of 11029133606400 in words is "eleven trillion, twenty-nine billion, one hundred thirty-three million, six hundred six thousand, four hundred".