11555542338240 has 224 divisors, whose sum is σ = 37273729042944. Its totient is φ = 3032513003520.

The previous prime is 11555542338167. The next prime is 11555542338253. The reversal of 11555542338240 is 4283324555511.

11555542338240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11555542338240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37128552 + ... + 37438488.

Almost surely, 2^{11555542338240} is an apocalyptic number.

11555542338240 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 11555542338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636864521472).

11555542338240 is an abundant number, since it is smaller than the sum of its proper divisors (25718186704704).

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

11555542338240 is a wasteful number, since it uses less digits than its factorization.

11555542338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310575 (or 310565 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 11555542338240 in words is "eleven trillion, five hundred fifty-five billion, five hundred forty-two million, three hundred thirty-eight thousand, two hundred forty".