13156484382720 has 1596 divisors, whose sum is σ = 55266818622804. Its totient is φ = 2996494663680.

The previous prime is 13156484382659. The next prime is 13156484382733. The reversal of 13156484382720 is 2728348465131.

13156484382720 is a `hidden beast` number, since 1 + 3 + 1 + 564 + 8 + 4 + 3 + 8 + 2 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6826389405696 + 6330094977024 = 2612736^2 + 2515968^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 46820228980 + ... + 46820229260.

Almost surely, 2^{13156484382720} is an apocalyptic number.

13156484382720 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 13156484382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27633409311402).

13156484382720 is an abundant number, since it is smaller than the sum of its proper divisors (42110334240084).

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

13156484382720 is an frugal number, since it uses more digits than its factorization.

13156484382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 13156484382720 in words is "thirteen trillion, one hundred fifty-six billion, four hundred eighty-four million, three hundred eighty-two thousand, seven hundred twenty".