11329290342900 has 864 divisors, whose sum is σ = 40537905408000. Its totient is φ = 2628839854080.

The previous prime is 11329290342899. The next prime is 11329290342901. The reversal of 11329290342900 is 924309292311.

It is a happy number.

11329290342900 is a `hidden beast` number, since 1 + 1 + 329 + 2 + 9 + 0 + 34 + 290 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11329290342899) and next prime (11329290342901).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329290342901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5724754111 + ... + 5724756089.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872000).

Almost surely, 2^{11329290342900} is an apocalyptic number.

11329290342900 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 11329290342900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20268952704000).

11329290342900 is an abundant number, since it is smaller than the sum of its proper divisors (29208615065100).

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

11329290342900 is a wasteful number, since it uses less digits than its factorization.

11329290342900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 11329290342900 in words is "eleven trillion, three hundred twenty-nine billion, two hundred ninety million, three hundred forty-two thousand, nine hundred".