13526799552 has 224 divisors, whose sum is σ = 46072755200. Its totient is φ = 3811608576.

The previous prime is 13526799437. The next prime is 13526799557. The reversal of 13526799552 is 25599762531.

13526799552 is a `hidden beast` number, since 13 + 5 + 2 + 6 + 79 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13526799552² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13526799557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875349 + ... + 890667.

Almost surely, 2^13526799552 is an apocalyptic number.

13526799552 is a gapful number since it is divisible by the number (12) 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 13526799552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23036377600).

13526799552 is an abundant number, since it is smaller than the sum of its proper divisors (32545955648).

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

13526799552 is a wasteful number, since it uses less digits than its factorization.

13526799552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15420 (or 15404 counting only the distinct ones).

The product of its digits is 5103000, while the sum is 54.

The spelling of 13526799552 in words is "thirteen billion, five hundred twenty-six million, seven hundred ninety-nine thousand, five hundred fifty-two".