13487956248480 has 192 divisors, whose sum is σ = 48927305484288. Its totient is φ = 3059427271680.

The previous prime is 13487956248469. The next prime is 13487956248491. The reversal of 13487956248480 is 8484265978431.

It is an interprime number because it is at equal distance from previous prime (13487956248469) and next prime (13487956248491).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14881492 + ... + 15761811.

It is an arithmetic number, because the mean of its divisors is an integer number (254829716064).

It is a 1-persistent number, because it is pandigital, but 2⋅13487956248480 = 26975912496960 is not.

Almost surely, 2^{13487956248480} is an apocalyptic number.

13487956248480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13487956248480 is an abundant number, since it is smaller than the sum of its proper divisors (35439349235808).

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

13487956248480 is a wasteful number, since it uses less digits than its factorization.

13487956248480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30643459 (or 30643451 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 13487956248480 in words is "thirteen trillion, four hundred eighty-seven billion, nine hundred fifty-six million, two hundred forty-eight thousand, four hundred eighty".