13261510240 has 96 divisors (see below), whose sum is σ = 34758097920. Its totient is φ = 4740595200.

The previous prime is 13261510231. The next prime is 13261510261. The reversal of 13261510240 is 4201516231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39985 + ... + 167695.

It is an arithmetic number, because the mean of its divisors is an integer number (362063520).

Almost surely, 2^13261510240 is an apocalyptic number.

13261510240 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 13261510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379048960).

13261510240 is an abundant number, since it is smaller than the sum of its proper divisors (21496587680).

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

13261510240 is a wasteful number, since it uses less digits than its factorization.

13261510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127796 (or 127788 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 13261510240 in words is "thirteen billion, two hundred sixty-one million, five hundred ten thousand, two hundred forty".