11557755440000 has 1440 divisors, whose sum is σ = 37517057886000. Its totient is φ = 3541359360000.

The previous prime is 11557755439991. The next prime is 11557755440029. The reversal of 11557755440000 is 4455775511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 195894159971 + ... + 195894160029.

Almost surely, 2^{11557755440000} is an apocalyptic number.

11557755440000 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 11557755440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758528943000).

11557755440000 is an abundant number, since it is smaller than the sum of its proper divisors (25959302446000).

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

11557755440000 is an frugal number, since it uses more digits than its factorization.

11557755440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 44.

The spelling of 11557755440000 in words is "eleven trillion, five hundred fifty-seven billion, seven hundred fifty-five million, four hundred forty thousand".