13207435815960 has 1536 divisors, whose sum is σ = 50269040640000. Its totient is φ = 3104400660480.

The previous prime is 13207435815943. The next prime is 13207435815983. The reversal of 13207435815960 is 6951853470231.

It is a happy number.

13207435815960 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 7 + 4 + 3 + 581 + 59 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13207435815897 and 13207435815906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17872037271 + ... + 17872038009.

It is an arithmetic number, because the mean of its divisors is an integer number (32727240000).

It is a 1-persistent number, because it is pandigital, but 2⋅13207435815960 = 26414871631920 is not.

Almost surely, 2^{13207435815960} is an apocalyptic number.

13207435815960 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 13207435815960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25134520320000).

13207435815960 is an abundant number, since it is smaller than the sum of its proper divisors (37061604824040).

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

13207435815960 is a wasteful number, since it uses less digits than its factorization.

13207435815960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13207435815960 in words is "thirteen trillion, two hundred seven billion, four hundred thirty-five million, eight hundred fifteen thousand, nine hundred sixty".