11261570420240 has 120 divisors (see below), whose sum is σ = 30464068389120. Its totient is φ = 3860334422784.

The previous prime is 11261570420171. The next prime is 11261570420249. The reversal of 11261570420240 is 4202407516211.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11261570420240.

It is not an unprimeable number, because it can be changed into a prime (11261570420249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19404191 + ... + 19976129.

It is an arithmetic number, because the mean of its divisors is an integer number (253867236576).

Almost surely, 2^{11261570420240} is an apocalyptic number.

11261570420240 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 11261570420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232034194560).

11261570420240 is an abundant number, since it is smaller than the sum of its proper divisors (19202497968880).

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

11261570420240 is a wasteful number, since it uses less digits than its factorization.

11261570420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576989 (or 576976 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 11261570420240 its reverse (4202407516211), we get a palindrome (15463977936451).

The spelling of 11261570420240 in words is "eleven trillion, two hundred sixty-one billion, five hundred seventy million, four hundred twenty thousand, two hundred forty".