13146054789120 has 1152 divisors, whose sum is σ = 50047887052800. Its totient is φ = 2910427545600.

The previous prime is 13146054789113. The next prime is 13146054789137. The reversal of 13146054789120 is 2198745064131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51151964032 + ... + 51151964288.

It is an arithmetic number, because the mean of its divisors is an integer number (43444346400).

It is a 1-persistent number, because it is pandigital, but 2⋅13146054789120 = 26292109578240 is not.

Almost surely, 2^{13146054789120} is an apocalyptic number.

13146054789120 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 13146054789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25023943526400).

13146054789120 is an abundant number, since it is smaller than the sum of its proper divisors (36901832263680).

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

13146054789120 is a wasteful number, since it uses less digits than its factorization.

13146054789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 13146054789120 in words is "thirteen trillion, one hundred forty-six billion, fifty-four million, seven hundred eighty-nine thousand, one hundred twenty".