11754274384320 has 448 divisors, whose sum is σ = 43544406850560. Its totient is φ = 2659830792192.

The previous prime is 11754274384319. The next prime is 11754274384331. The reversal of 11754274384320 is 2348347245711.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 8478661 + ... + 9767099.

It is an arithmetic number, because the mean of its divisors is an integer number (97197336720).

Almost surely, 2^{11754274384320} is an apocalyptic number.

11754274384320 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 11754274384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772203425280).

11754274384320 is an abundant number, since it is smaller than the sum of its proper divisors (31790132466240).

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

11754274384320 is a wasteful number, since it uses less digits than its factorization.

11754274384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288532 (or 1288522 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 11754274384320 in words is "eleven trillion, seven hundred fifty-four billion, two hundred seventy-four million, three hundred eighty-four thousand, three hundred twenty".