13890197205960 has 512 divisors, whose sum is σ = 46934769600000. Its totient is φ = 3267958210560.

The previous prime is 13890197205947. The next prime is 13890197206037. The reversal of 13890197205960 is 6950279109831.

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

It is a junction number, because it is equal to n+sod(n) for n = 13890197205894 and 13890197205903.

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, 1553535090 + ... + 1553544030.

It is an arithmetic number, because the mean of its divisors is an integer number (91669471875).

Almost surely, 2^{13890197205960} is an apocalyptic number.

13890197205960 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 13890197205960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23467384800000).

13890197205960 is an abundant number, since it is smaller than the sum of its proper divisors (33044572394040).

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

13890197205960 is a wasteful number, since it uses less digits than its factorization.

13890197205960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9409 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 13890197205960 in words is "thirteen trillion, eight hundred ninety billion, one hundred ninety-seven million, two hundred five thousand, nine hundred sixty".