13350727715535 has 192 divisors, whose sum is σ = 28792303288320. Its totient is φ = 5584714801920.

The previous prime is 13350727715527. The next prime is 13350727715543. The reversal of 13350727715535 is 53551772705331.

It is a happy number.

13350727715535 is a `hidden beast` number, since 1 + 3 + 3 + 507 + 2 + 77 + 15 + 53 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13350727715527) and next prime (13350727715543).

It is not a de Polignac number, because 13350727715535 - 2³ = 13350727715527 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96966012 + ... + 97103598.

It is an arithmetic number, because the mean of its divisors is an integer number (149959912960).

Almost surely, 2^{13350727715535} is an apocalyptic number.

13350727715535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13350727715535 is an abundant number, since it is smaller than the sum of its proper divisors (15441575572785).

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

13350727715535 is a wasteful number, since it uses less digits than its factorization.

13350727715535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138178 (or 138175 counting only the distinct ones).

The product of its (nonzero) digits is 11576250, while the sum is 54.

The spelling of 13350727715535 in words is "thirteen trillion, three hundred fifty billion, seven hundred twenty-seven million, seven hundred fifteen thousand, five hundred thirty-five".