13781197980 has 384 divisors, whose sum is σ = 48649144320. Its totient is φ = 3209472000.

The previous prime is 13781197973. The next prime is 13781197987. The reversal of 13781197980 is 8979118731.

13781197980 is a `hidden beast` number, since 1 + 378 + 1 + 197 + 9 + 80 = 666.

13781197980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13781197973) and next prime (13781197987).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13781197987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17290942 + ... + 17291738.

It is an arithmetic number, because the mean of its divisors is an integer number (126690480).

Almost surely, 2^13781197980 is an apocalyptic number.

13781197980 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 13781197980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324572160).

13781197980 is an abundant number, since it is smaller than the sum of its proper divisors (34867946340).

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

13781197980 is a wasteful number, since it uses less digits than its factorization.

13781197980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 13781197980 in words is "thirteen billion, seven hundred eighty-one million, one hundred ninety-seven thousand, nine hundred eighty".