13721010428160 has 1728 divisors, whose sum is σ = 59409505838592. Its totient is φ = 2852020813824.

The previous prime is 13721010428159. The next prime is 13721010428161. The reversal of 13721010428160 is 6182401012731.

13721010428160 is a `hidden beast` number, since 1 + 3 + 7 + 210 + 1 + 0 + 428 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13721010428159) and next prime (13721010428161).

It is a super-2 number, since 2×13721010428160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13721010428161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7963441059 + ... + 7963442781.

It is an arithmetic number, because the mean of its divisors is an integer number (34380501064).

Almost surely, 2^{13721010428160} is an apocalyptic number.

13721010428160 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 13721010428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29704752919296).

13721010428160 is an abundant number, since it is smaller than the sum of its proper divisors (45688495410432).

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

13721010428160 is a wasteful number, since it uses less digits than its factorization.

13721010428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13721010428160 in words is "thirteen trillion, seven hundred twenty-one billion, ten million, four hundred twenty-eight thousand, one hundred sixty".