13075238393640 has 384 divisors, whose sum is σ = 44122163754240. Its totient is φ = 3355915788288.

The previous prime is 13075238393593. The next prime is 13075238393719. The reversal of 13075238393640 is 4639383257031.

13075238393640 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 523 + 83 + 9 + 36 + 4 + 0 = 666.

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, 302596917 + ... + 302640123.

It is an arithmetic number, because the mean of its divisors is an integer number (114901468110).

It is a 1-persistent number, because it is pandigital, but 2⋅13075238393640 = 26150476787280 is not.

Almost surely, 2^{13075238393640} is an apocalyptic number.

13075238393640 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 13075238393640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22061081877120).

13075238393640 is an abundant number, since it is smaller than the sum of its proper divisors (31046925360600).

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

13075238393640 is a wasteful number, since it uses less digits than its factorization.

13075238393640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43553 (or 43546 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 13075238393640 in words is "thirteen trillion, seventy-five billion, two hundred thirty-eight million, three hundred ninety-three thousand, six hundred forty".