13235727461616 has 200 divisors, whose sum is σ = 41841399371904. Its totient is φ = 4005949530240.

The previous prime is 13235727461611. The next prime is 13235727461617. The reversal of 13235727461616 is 61616472753231.

13235727461616 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 7 + 2 + 7 + 4 + 616 + 16 = 666.

13235727461616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13235727461611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11168635 + ... + 12296741.

Almost surely, 2^{13235727461616} is an apocalyptic number.

13235727461616 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 13235727461616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20920699685952).

13235727461616 is an abundant number, since it is smaller than the sum of its proper divisors (28605671910288).

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

13235727461616 is a wasteful number, since it uses less digits than its factorization.

13235727461616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128961 (or 1128946 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 13235727461616 in words is "thirteen trillion, two hundred thirty-five billion, seven hundred twenty-seven million, four hundred sixty-one thousand, six hundred sixteen".