12817607853540 has 384 divisors, whose sum is σ = 45064470528000. Its totient is φ = 2654148017664.

The previous prime is 12817607853527. The next prime is 12817607853593. The reversal of 12817607853540 is 4535870671821.

12817607853540 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 (57).

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, 924851131 + ... + 924864989.

It is an arithmetic number, because the mean of its divisors is an integer number (117355392000).

Almost surely, 2^{12817607853540} is an apocalyptic number.

12817607853540 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 12817607853540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532235264000).

12817607853540 is an abundant number, since it is smaller than the sum of its proper divisors (32246862674460).

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

12817607853540 is a wasteful number, since it uses less digits than its factorization.

12817607853540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18959 (or 18957 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 12817607853540 in words is "twelve trillion, eight hundred seventeen billion, six hundred seven million, eight hundred fifty-three thousand, five hundred forty".