13519945380480 has 2048 divisors, whose sum is σ = 56853135360000. Its totient is φ = 2651226439680.

The previous prime is 13519945380433. The next prime is 13519945380493. The reversal of 13519945380480 is 8408354991531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60627557649 + ... + 60627557871.

It is an arithmetic number, because the mean of its divisors is an integer number (27760320000).

Almost surely, 2^{13519945380480} is an apocalyptic number.

13519945380480 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 13519945380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28426567680000).

13519945380480 is an abundant number, since it is smaller than the sum of its proper divisors (43333189979520).

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

13519945380480 is a wasteful number, since it uses less digits than its factorization.

13519945380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 13519945380480 in words is "thirteen trillion, five hundred nineteen billion, nine hundred forty-five million, three hundred eighty thousand, four hundred eighty".