11329849532400 has 720 divisors, whose sum is σ = 44173047386880. Its totient is φ = 2431173427200.

The previous prime is 11329849532399. The next prime is 11329849532429. The reversal of 11329849532400 is 423594892311.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 992882695 + ... + 992894105.

It is an arithmetic number, because the mean of its divisors is an integer number (61351454704).

Almost surely, 2^{11329849532400} is an apocalyptic number.

11329849532400 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 11329849532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22086523693440).

11329849532400 is an abundant number, since it is smaller than the sum of its proper divisors (32843197854480).

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

11329849532400 is a wasteful number, since it uses less digits than its factorization.

11329849532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 11329849532400 in words is "eleven trillion, three hundred twenty-nine billion, eight hundred forty-nine million, five hundred thirty-two thousand, four hundred".