13720272471360 has 5376 divisors, whose sum is σ = 67248340992000. Its totient is φ = 2602424401920.

The previous prime is 13720272471349. The next prime is 13720272471401. The reversal of 13720272471360 is 6317427202731.

13720272471360 is a `hidden beast` number, since 1 + 3 + 7 + 20 + 27 + 247 + 1 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 232546991011 + ... + 232546991069.

It is an arithmetic number, because the mean of its divisors is an integer number (12508992000).

Almost surely, 2^{13720272471360} is an apocalyptic number.

13720272471360 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 13720272471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33624170496000).

13720272471360 is an abundant number, since it is smaller than the sum of its proper divisors (53528068520640).

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

13720272471360 is a wasteful number, since it uses less digits than its factorization.

13720272471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 13720272471360 in words is "thirteen trillion, seven hundred twenty billion, two hundred seventy-two million, four hundred seventy-one thousand, three hundred sixty".