13111522510240 has 576 divisors, whose sum is σ = 40025828747520. Its totient is φ = 3942947635200.

The previous prime is 13111522510217. The next prime is 13111522510297. The reversal of 13111522510240 is 4201522511131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13111522510199 and 13111522510208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4416139476 + ... + 4416142444.

It is an arithmetic number, because the mean of its divisors is an integer number (69489286020).

Almost surely, 2^{13111522510240} is an apocalyptic number.

13111522510240 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 13111522510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20012914373760).

13111522510240 is an abundant number, since it is smaller than the sum of its proper divisors (26914306237280).

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

13111522510240 is a wasteful number, since it uses less digits than its factorization.

13111522510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 13111522510240 in words is "thirteen trillion, one hundred eleven billion, five hundred twenty-two million, five hundred ten thousand, two hundred forty".