13430498939520 has 512 divisors, whose sum is σ = 47220193278720. Its totient is φ = 3225988104192.

The previous prime is 13430498939483. The next prime is 13430498939567. The reversal of 13430498939520 is 2593989403431.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1237486414 + ... + 1237497266.

Almost surely, 2^{13430498939520} is an apocalyptic number.

13430498939520 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 13430498939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23610096639360).

13430498939520 is an abundant number, since it is smaller than the sum of its proper divisors (33789694339200).

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

13430498939520 is a wasteful number, since it uses less digits than its factorization.

13430498939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 13430498939520 in words is "thirteen trillion, four hundred thirty billion, four hundred ninety-eight million, nine hundred thirty-nine thousand, five hundred twenty".