13775997256420 has 144 divisors (see below), whose sum is σ = 34906767920640. Its totient is φ = 4472985846528.

The previous prime is 13775997256393. The next prime is 13775997256429. The reversal of 13775997256420 is 2465279957731.

It is not an unprimeable number, because it can be changed into a prime (13775997256429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143333941 + ... + 143430019.

It is an arithmetic number, because the mean of its divisors is an integer number (242408110560).

Almost surely, 2^{13775997256420} is an apocalyptic number.

13775997256420 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 13775997256420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453383960320).

13775997256420 is an abundant number, since it is smaller than the sum of its proper divisors (21130770664220).

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

13775997256420 is a wasteful number, since it uses less digits than its factorization.

13775997256420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98970 (or 98949 counting only the distinct ones).

The product of its (nonzero) digits is 200037600, while the sum is 67.

The spelling of 13775997256420 in words is "thirteen trillion, seven hundred seventy-five billion, nine hundred ninety-seven million, two hundred fifty-six thousand, four hundred twenty".