13252685322240 has 2304 divisors, whose sum is σ = 59808765744000. Its totient is φ = 2793161097216.

The previous prime is 13252685322119. The next prime is 13252685322281. The reversal of 13252685322240 is 4222358625231.

13252685322240 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 6 + 85 + 322 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14265538096 + ... + 14265539024.

Almost surely, 2^{13252685322240} is an apocalyptic number.

13252685322240 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 13252685322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29904382872000).

13252685322240 is an abundant number, since it is smaller than the sum of its proper divisors (46556080421760).

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

13252685322240 is an frugal number, since it uses more digits than its factorization.

13252685322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 13252685322240 in words is "thirteen trillion, two hundred fifty-two billion, six hundred eighty-five million, three hundred twenty-two thousand, two hundred forty".