13526472960 has 2304 divisors, whose sum is σ = 71205765120. Its totient is φ = 2335703040.

The previous prime is 13526472931. The next prime is 13526472961. The reversal of 13526472960 is 6927462531.

13526472960 is a `hidden beast` number, since 1 + 3 + 526 + 47 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×13526472960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13526472961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 588107509 + ... + 588107531.

It is an arithmetic number, because the mean of its divisors is an integer number (30905280).

Almost surely, 2^13526472960 is an apocalyptic number.

13526472960 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 13526472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35602882560).

13526472960 is an abundant number, since it is smaller than the sum of its proper divisors (57679292160).

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

13526472960 is a wasteful number, since it uses less digits than its factorization.

13526472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13526472960 in words is "thirteen billion, five hundred twenty-six million, four hundred seventy-two thousand, nine hundred sixty".