13345827375540 has 96 divisors (see below), whose sum is σ = 40767305443200. Its totient is φ = 3235203750400.

The previous prime is 13345827375511. The next prime is 13345827375541. The reversal of 13345827375540 is 4557372854331.

It is a happy number.

It is a super-2 number, since 2×13345827375540² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345827375541) 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 31 ways as a sum of consecutive naturals, for example, 14297950 + ... + 15202730.

It is an arithmetic number, because the mean of its divisors is an integer number (424659431700).

Almost surely, 2^{13345827375540} is an apocalyptic number.

13345827375540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13345827375540 is an abundant number, since it is smaller than the sum of its proper divisors (27421478067660).

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

13345827375540 is a wasteful number, since it uses less digits than its factorization.

13345827375540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927153 (or 927151 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 57.

The spelling of 13345827375540 in words is "thirteen trillion, three hundred forty-five billion, eight hundred twenty-seven million, three hundred seventy-five thousand, five hundred forty".