13480900377504 has 96 divisors (see below), whose sum is σ = 40954634219520. Its totient is φ = 3802930290432.

The previous prime is 13480900377457. The next prime is 13480900377509. The reversal of 13480900377504 is 40577300908431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13480900377509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126914404 + ... + 127020579.

It is an arithmetic number, because the mean of its divisors is an integer number (426610773120).

Almost surely, 2^{13480900377504} is an apocalyptic number.

13480900377504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13480900377504 is an abundant number, since it is smaller than the sum of its proper divisors (27473733842016).

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

13480900377504 is a wasteful number, since it uses less digits than its factorization.

13480900377504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253935082 (or 253935074 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 13480900377504 in words is "thirteen trillion, four hundred eighty billion, nine hundred million, three hundred seventy-seven thousand, five hundred four".