13338853980480 has 1344 divisors, whose sum is σ = 58235061860352. Its totient is φ = 2732454051840.

The previous prime is 13338853980461. The next prime is 13338853980509. The reversal of 13338853980480 is 8408935883331.

13338853980480 is a `hidden beast` number, since 1 + 33 + 38 + 8 + 5 + 3 + 98 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 595978890 + ... + 596001270.

Almost surely, 2^{13338853980480} is an apocalyptic number.

13338853980480 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 13338853980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29117530930176).

13338853980480 is an abundant number, since it is smaller than the sum of its proper divisors (44896207879872).

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

13338853980480 is a wasteful number, since it uses less digits than its factorization.

13338853980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22512 (or 22499 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 13338853980480 in words is "thirteen trillion, three hundred thirty-eight billion, eight hundred fifty-three million, nine hundred eighty thousand, four hundred eighty".