13257992769840 has 720 divisors, whose sum is σ = 55130433658560. Its totient is φ = 2795786772480.

The previous prime is 13257992769817. The next prime is 13257992769871. The reversal of 13257992769840 is 4896729975231.

13257992769840 is a `hidden beast` number, since 1 + 3 + 2 + 579 + 9 + 2 + 7 + 6 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2375555850 + ... + 2375561430.

It is an arithmetic number, because the mean of its divisors is an integer number (76570046748).

It is a 1-persistent number, because it is pandigital, but 2⋅13257992769840 = 26515985539680 is not.

Almost surely, 2^{13257992769840} is an apocalyptic number.

13257992769840 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 13257992769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27565216829280).

13257992769840 is an abundant number, since it is smaller than the sum of its proper divisors (41872440888720).

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

13257992769840 is a wasteful number, since it uses less digits than its factorization.

13257992769840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 13257992769840 in words is "thirteen trillion, two hundred fifty-seven billion, nine hundred ninety-two million, seven hundred sixty-nine thousand, eight hundred forty".