13775090973696 has 528 divisors, whose sum is σ = 44919819322560. Its totient is φ = 4036201021440.

The previous prime is 13775090973617. The next prime is 13775090973713. The reversal of 13775090973696 is 69637909057731.

13775090973696 is a `hidden beast` number, since 1 + 377 + 50 + 9 + 0 + 97 + 36 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253606381 + ... + 253660691.

Almost surely, 2^{13775090973696} is an apocalyptic number.

13775090973696 is a gapful number since it is divisible by the number (16) 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 13775090973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22459909661280).

13775090973696 is an abundant number, since it is smaller than the sum of its proper divisors (31144728348864).

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

13775090973696 is a wasteful number, since it uses less digits than its factorization.

13775090973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54452 (or 54431 counting only the distinct ones).

The product of its (nonzero) digits is 405076140, while the sum is 72.

The spelling of 13775090973696 in words is "thirteen trillion, seven hundred seventy-five billion, ninety million, nine hundred seventy-three thousand, six hundred ninety-six".