13311370874880 has 624 divisors, whose sum is σ = 51292898582016. Its totient is φ = 3170929213440.

The previous prime is 13311370874827. The next prime is 13311370874929. The reversal of 13311370874880 is 8847807311331.

13311370874880 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 13 + 70 + 87 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74191359 + ... + 74370561.

It is an arithmetic number, because the mean of its divisors is an integer number (82200157984).

Almost surely, 2^{13311370874880} is an apocalyptic number.

13311370874880 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 13311370874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646449291008).

13311370874880 is an abundant number, since it is smaller than the sum of its proper divisors (37981527707136).

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

13311370874880 is a wasteful number, since it uses less digits than its factorization.

13311370874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179282 (or 179257 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 13311370874880 in words is "thirteen trillion, three hundred eleven billion, three hundred seventy million, eight hundred seventy-four thousand, eight hundred eighty".