13016394362880 has 1872 divisors, whose sum is σ = 51947804810304. Its totient is φ = 3001590743040.

The previous prime is 13016394362849. The next prime is 13016394362891. The reversal of 13016394362880 is 8826349361031.

13016394362880 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 6 + 3 + 9 + 4 + 3 + 628 + 8 + 0 = 666.

13016394362880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13016394362880² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41853357925 + ... + 41853358235.

It is an arithmetic number, because the mean of its divisors is an integer number (27749895732).

Almost surely, 2^{13016394362880} is an apocalyptic number.

13016394362880 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 13016394362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25973902405152).

13016394362880 is an abundant number, since it is smaller than the sum of its proper divisors (38931410447424).

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

13016394362880 is a wasteful number, since it uses less digits than its factorization.

13016394362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 13016394362880 in words is "thirteen trillion, sixteen billion, three hundred ninety-four million, three hundred sixty-two thousand, eight hundred eighty".