13264152200640 has 2016 divisors, whose sum is σ = 54181713051648. Its totient is φ = 3063619584000.

The previous prime is 13264152200627. The next prime is 13264152200681. The reversal of 13264152200640 is 4600225146231.

13264152200640 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 4 + 1 + 5 + 2 + 2 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13264152200595 and 13264152200604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69445822945 + ... + 69445823135.

It is an arithmetic number, because the mean of its divisors is an integer number (26875849728).

Almost surely, 2^{13264152200640} is an apocalyptic number.

13264152200640 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 13264152200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27090856525824).

13264152200640 is an abundant number, since it is smaller than the sum of its proper divisors (40917560851008).

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

13264152200640 is an equidigital number, since it uses as much as digits as its factorization.

13264152200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13264152200640 its reverse (4600225146231), we get a palindrome (17864377346871).

The spelling of 13264152200640 in words is "thirteen trillion, two hundred sixty-four billion, one hundred fifty-two million, two hundred thousand, six hundred forty".