13787875261440 has 880 divisors, whose sum is σ = 56544350303232. Its totient is φ = 3147155472384.

The previous prime is 13787875261343. The next prime is 13787875261453. The reversal of 13787875261440 is 4416257878731.

It is a happy number.

13787875261440 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 8 + 7 + 5 + 2 + 614 + 4 + 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 79 ways as a sum of consecutive naturals, for example, 2400811209 + ... + 2400816951.

Almost surely, 2^{13787875261440} is an apocalyptic number.

13787875261440 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 13787875261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28272175151616).

13787875261440 is an abundant number, since it is smaller than the sum of its proper divisors (42756475041792).

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

13787875261440 is an equidigital number, since it uses as much as digits as its factorization.

13787875261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 13787875261440 in words is "thirteen trillion, seven hundred eighty-seven billion, eight hundred seventy-five million, two hundred sixty-one thousand, four hundred forty".