11438971827600 has 480 divisors, whose sum is σ = 40145043409920. Its totient is φ = 2775093995520.

The previous prime is 11438971827593. The next prime is 11438971827611. The reversal of 11438971827600 is 672817983411.

It is a super-3 number, since 3×11438971827600³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 53520147 + ... + 53733453.

It is an arithmetic number, because the mean of its divisors is an integer number (83635507104).

Almost surely, 2^{11438971827600} is an apocalyptic number.

11438971827600 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 11438971827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20072521704960).

11438971827600 is an abundant number, since it is smaller than the sum of its proper divisors (28706071582320).

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

11438971827600 is a wasteful number, since it uses less digits than its factorization.

11438971827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213447 (or 213436 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 11438971827600 in words is "eleven trillion, four hundred thirty-eight billion, nine hundred seventy-one million, eight hundred twenty-seven thousand, six hundred".