13487766013440 has 1920 divisors, whose sum is σ = 53731875225600. Its totient is φ = 3108528783360.

The previous prime is 13487766013399. The next prime is 13487766013499. The reversal of 13487766013440 is 4431066778431.

It is a happy number.

13487766013440 is a `hidden beast` number, since 1 + 3 + 487 + 76 + 60 + 1 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24657707247 + ... + 24657707793.

It is an arithmetic number, because the mean of its divisors is an integer number (27985351680).

Almost surely, 2^{13487766013440} is an apocalyptic number.

13487766013440 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 13487766013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26865937612800).

13487766013440 is an abundant number, since it is smaller than the sum of its proper divisors (40244109212160).

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

13487766013440 is a wasteful number, since it uses less digits than its factorization.

13487766013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 13487766013440 in words is "thirteen trillion, four hundred eighty-seven billion, seven hundred sixty-six million, thirteen thousand, four hundred forty".