13713977249280 has 2400 divisors, whose sum is σ = 62480708978688. Its totient is φ = 2753939865600.

The previous prime is 13713977249279. The next prime is 13713977249321. The reversal of 13713977249280 is 8294277931731.

13713977249280 is a `hidden beast` number, since 1 + 3 + 7 + 139 + 7 + 7 + 2 + 492 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 18863792277 + ... + 18863793003.

Almost surely, 2^{13713977249280} is an apocalyptic number.

13713977249280 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 13713977249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31240354489344).

13713977249280 is an abundant number, since it is smaller than the sum of its proper divisors (48766731729408).

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

13713977249280 is an equidigital number, since it uses as much as digits as its factorization.

13713977249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 13713977249280 in words is "thirteen trillion, seven hundred thirteen billion, nine hundred seventy-seven million, two hundred forty-nine thousand, two hundred eighty".