13395753977550 has 192 divisors, whose sum is σ = 40543605043200. Its totient is φ = 2860939468800.

The previous prime is 13395753977537. The next prime is 13395753977659. The reversal of 13395753977550 is 5577935759331.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 6151635 + ... + 8039534.

It is an arithmetic number, because the mean of its divisors is an integer number (211164609600).

Almost surely, 2^{13395753977550} is an apocalyptic number.

13395753977550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13395753977550 is an abundant number, since it is smaller than the sum of its proper divisors (27147851065650).

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

13395753977550 is a wasteful number, since it uses less digits than its factorization.

13395753977550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191251 (or 14191246 counting only the distinct ones).

The product of its (nonzero) digits is 468838125, while the sum is 69.

The spelling of 13395753977550 in words is "thirteen trillion, three hundred ninety-five billion, seven hundred fifty-three million, nine hundred seventy-seven thousand, five hundred fifty".