13530963962880 has 4224 divisors, whose sum is σ = 65456040591360. Its totient is φ = 2583712235520.

The previous prime is 13530963962869. The next prime is 13530963962909. The reversal of 13530963962880 is 8826936903531.

13530963962880 is a `hidden beast` number, since 1 + 3 + 530 + 9 + 6 + 3 + 96 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86184483762 + ... + 86184483918.

Almost surely, 2^{13530963962880} is an apocalyptic number.

13530963962880 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 13530963962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32728020295680).

13530963962880 is an abundant number, since it is smaller than the sum of its proper divisors (51925076628480).

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

13530963962880 is a wasteful number, since it uses less digits than its factorization.

13530963962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 13530963962880 in words is "thirteen trillion, five hundred thirty billion, nine hundred sixty-three million, nine hundred sixty-two thousand, eight hundred eighty".