13535869373840 has 240 divisors, whose sum is σ = 35371081105920. Its totient is φ = 4811530521600.

The previous prime is 13535869373783. The next prime is 13535869373879. The reversal of 13535869373840 is 4837396853531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381693710 + ... + 381729170.

It is an arithmetic number, because the mean of its divisors is an integer number (147379504608).

Almost surely, 2^{13535869373840} is an apocalyptic number.

13535869373840 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 13535869373840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17685540552960).

13535869373840 is an abundant number, since it is smaller than the sum of its proper divisors (21835211732080).

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

13535869373840 is a wasteful number, since it uses less digits than its factorization.

13535869373840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36382 (or 36365 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 65.

The spelling of 13535869373840 in words is "thirteen trillion, five hundred thirty-five billion, eight hundred sixty-nine million, three hundred seventy-three thousand, eight hundred forty".