11149771382400 has 1536 divisors, whose sum is σ = 44480810188800. Its totient is φ = 2399975424000.

The previous prime is 11149771382381. The next prime is 11149771382401. The reversal of 11149771382400 is 428317794111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11149771382400.

It is not an unprimeable number, because it can be changed into a prime (11149771382401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52842518295 + ... + 52842518505.

It is an arithmetic number, because the mean of its divisors is an integer number (28958860800).

Almost surely, 2^{11149771382400} is an apocalyptic number.

11149771382400 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 11149771382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240405094400).

11149771382400 is an abundant number, since it is smaller than the sum of its proper divisors (33331038806400).

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

11149771382400 is a wasteful number, since it uses less digits than its factorization.

11149771382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 11149771382400 in words is "eleven trillion, one hundred forty-nine billion, seven hundred seventy-one million, three hundred eighty-two thousand, four hundred".