13430847211380 has 144 divisors (see below), whose sum is σ = 41353379069184. Its totient is φ = 3527669756160.

The previous prime is 13430847211373. The next prime is 13430847211391. The reversal of 13430847211380 is 8311274803431.

13430847211380 is a `hidden beast` number, since 1 + 3 + 43 + 0 + 8 + 472 + 1 + 138 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104773525 + ... + 104901635.

It is an arithmetic number, because the mean of its divisors is an integer number (287176243536).

Almost surely, 2^{13430847211380} is an apocalyptic number.

13430847211380 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 13430847211380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676689534592).

13430847211380 is an abundant number, since it is smaller than the sum of its proper divisors (27922531857804).

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

13430847211380 is a wasteful number, since it uses less digits than its factorization.

13430847211380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136886 (or 136881 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13430847211380 in words is "thirteen trillion, four hundred thirty billion, eight hundred forty-seven million, two hundred eleven thousand, three hundred eighty".