13528659972960 has 768 divisors, whose sum is σ = 54125456394240. Its totient is φ = 3124002816000.

The previous prime is 13528659972941. The next prime is 13528659973001. The reversal of 13528659972960 is 6927995682531.

It is a happy number.

13528659972960 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 8 + 6 + 599 + 7 + 29 + 6 + 0 = 666.

13528659972960 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263377680 + ... + 263429040.

It is an arithmetic number, because the mean of its divisors is an integer number (70475854680).

Almost surely, 2^{13528659972960} is an apocalyptic number.

13528659972960 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 13528659972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27062728197120).

13528659972960 is an abundant number, since it is smaller than the sum of its proper divisors (40596796421280).

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

13528659972960 is a wasteful number, since it uses less digits than its factorization.

13528659972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51660 (or 51646 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 13528659972960 in words is "thirteen trillion, five hundred twenty-eight billion, six hundred fifty-nine million, nine hundred seventy-two thousand, nine hundred sixty".