11710175274240 has 288 divisors, whose sum is σ = 37791251097600. Its totient is φ = 3090039349248.

The previous prime is 11710175274181. The next prime is 11710175274241. The reversal of 11710175274240 is 4247257101711.

It is a junction number, because it is equal to n+sod(n) for n = 11710175274192 and 11710175274201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11710175274241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553321899 + ... + 553343061.

Almost surely, 2^{11710175274240} is an apocalyptic number.

11710175274240 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 11710175274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895625548800).

11710175274240 is an abundant number, since it is smaller than the sum of its proper divisors (26081075823360).

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

11710175274240 is a wasteful number, since it uses less digits than its factorization.

11710175274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22689 (or 22675 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 42.

The spelling of 11710175274240 in words is "eleven trillion, seven hundred ten billion, one hundred seventy-five million, two hundred seventy-four thousand, two hundred forty".