13435360967380 has 192 divisors, whose sum is σ = 31997452032000. Its totient is φ = 4693924569600.

The previous prime is 13435360967339. The next prime is 13435360967387. The reversal of 13435360967380 is 8376906353431.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435360967387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1228201951 + ... + 1228212889.

It is an arithmetic number, because the mean of its divisors is an integer number (166653396000).

Almost surely, 2^{13435360967380} is an apocalyptic number.

13435360967380 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 13435360967380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998726016000).

13435360967380 is an abundant number, since it is smaller than the sum of its proper divisors (18562091064620).

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

13435360967380 is a wasteful number, since it uses less digits than its factorization.

13435360967380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918 (or 11916 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 58.

The spelling of 13435360967380 in words is "thirteen trillion, four hundred thirty-five billion, three hundred sixty million, nine hundred sixty-seven thousand, three hundred eighty".