13745897780160 has 896 divisors, whose sum is σ = 54711146262528. Its totient is φ = 2846638080000.

The previous prime is 13745897780089. The next prime is 13745897780201. The reversal of 13745897780160 is 6108779854731.

It is a junction number, because it is equal to n+sod(n) for n = 13745897780091 and 13745897780100.

It is a congruent number.

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, 2776385685 + ... + 2776390635.

It is an arithmetic number, because the mean of its divisors is an integer number (61061547168).

Almost surely, 2^{13745897780160} is an apocalyptic number.

13745897780160 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 13745897780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27355573131264).

13745897780160 is an abundant number, since it is smaller than the sum of its proper divisors (40965248482368).

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

13745897780160 is a wasteful number, since it uses less digits than its factorization.

13745897780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 66.

The spelling of 13745897780160 in words is "thirteen trillion, seven hundred forty-five billion, eight hundred ninety-seven million, seven hundred eighty thousand, one hundred sixty".