13528915964928 has 1056 divisors, whose sum is σ = 50805302236416. Its totient is φ = 3500433211392.

The previous prime is 13528915964917. The next prime is 13528915964959. The reversal of 13528915964928 is 82946951982531.

13528915964928 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 8 + 9 + 1 + 596 + 4 + 9 + 28 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1200111100 + ... + 1200122372.

Almost surely, 2^{13528915964928} is an apocalyptic number.

13528915964928 is a gapful number since it is divisible by the number (18) 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 13528915964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25402651118208).

13528915964928 is an abundant number, since it is smaller than the sum of its proper divisors (37276386271488).

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

13528915964928 is a wasteful number, since it uses less digits than its factorization.

13528915964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11381 (or 11351 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 72.

The spelling of 13528915964928 in words is "thirteen trillion, five hundred twenty-eight billion, nine hundred fifteen million, nine hundred sixty-four thousand, nine hundred twenty-eight".