13730531615000 has 160 divisors (see below), whose sum is σ = 32963534105040. Its totient is φ = 5356915200000.

The previous prime is 13730531614979. The next prime is 13730531615077. The reversal of 13730531615000 is 51613503731.

13730531615000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347049904 + ... + 1347060096.

Almost surely, 2^{13730531615000} is an apocalyptic number.

13730531615000 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 13730531615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481767052520).

13730531615000 is an abundant number, since it is smaller than the sum of its proper divisors (19233002490040).

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

13730531615000 is a wasteful number, since it uses less digits than its factorization.

13730531615000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16831 (or 16812 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The spelling of 13730531615000 in words is "thirteen trillion, seven hundred thirty billion, five hundred thirty-one million, six hundred fifteen thousand".