13525553664 has 200 divisors, whose sum is σ = 46138380288. Its totient is φ = 3864360960.

The previous prime is 13525553663. The next prime is 13525553669. The reversal of 13525553664 is 46635552531.

13525553664 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 55 + 536 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525553663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 267009 + ... + 313599.

Almost surely, 2^13525553664 is an apocalyptic number.

13525553664 is a gapful number since it is divisible by the number (14) 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 13525553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23069190144).

13525553664 is an abundant number, since it is smaller than the sum of its proper divisors (32612826624).

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

13525553664 is an frugal number, since it uses more digits than its factorization.

13525553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46628 (or 46603 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The spelling of 13525553664 in words is "thirteen billion, five hundred twenty-five million, five hundred fifty-three thousand, six hundred sixty-four".