13512858313680 has 800 divisors, whose sum is σ = 53595282825216. Its totient is φ = 3125485440000.

The previous prime is 13512858313663. The next prime is 13512858313687. The reversal of 13512858313680 is 8631385821531.

13512858313680 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 28 + 583 + 1 + 36 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13512858313687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 156844215 + ... + 156930345.

Almost surely, 2^{13512858313680} is an apocalyptic number.

13512858313680 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 13512858313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26797641412608).

13512858313680 is an abundant number, since it is smaller than the sum of its proper divisors (40082424511536).

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

13512858313680 is a wasteful number, since it uses less digits than its factorization.

13512858313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86269 (or 86254 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 13512858313680 in words is "thirteen trillion, five hundred twelve billion, eight hundred fifty-eight million, three hundred thirteen thousand, six hundred eighty".