13357693826892 has 672 divisors, whose sum is σ = 37523902268160. Its totient is φ = 4153623183360.

The previous prime is 13357693826891. The next prime is 13357693826903. The reversal of 13357693826892 is 29862839675331.

13357693826892 is a `hidden beast` number, since 1 + 3 + 35 + 76 + 9 + 382 + 68 + 92 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13357693826892.

It is not an unprimeable number, because it can be changed into a prime (13357693826891) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 69210848748 + ... + 69210848940.

It is an arithmetic number, because the mean of its divisors is an integer number (55839140280).

Almost surely, 2^{13357693826892} is an apocalyptic number.

13357693826892 is a gapful number since it is divisible by the number (12) 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 13357693826892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18761951134080).

13357693826892 is an abundant number, since it is smaller than the sum of its proper divisors (24166208441268).

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

13357693826892 is a wasteful number, since it uses less digits than its factorization.

13357693826892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 508 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 13357693826892 in words is "thirteen trillion, three hundred fifty-seven billion, six hundred ninety-three million, eight hundred twenty-six thousand, eight hundred ninety-two".