13721540551488 has 672 divisors, whose sum is σ = 50939143557120. Its totient is φ = 3428103168000.

The previous prime is 13721540551319. The next prime is 13721540551507. The reversal of 13721540551488 is 88415504512731.

13721540551488 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 1 + 5 + 4 + 0 + 551 + 4 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×13721540551488² (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 95 ways as a sum of consecutive naturals, for example, 129055533 + ... + 129161811.

It is an arithmetic number, because the mean of its divisors is an integer number (75802296960).

Almost surely, 2^{13721540551488} is an apocalyptic number.

13721540551488 is a gapful number since it is divisible by the number (18) 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 13721540551488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25469571778560).

13721540551488 is an abundant number, since it is smaller than the sum of its proper divisors (37217603005632).

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

13721540551488 is a wasteful number, since it uses less digits than its factorization.

13721540551488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106427 (or 106414 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 13721540551488 in words is "thirteen trillion, seven hundred twenty-one billion, five hundred forty million, five hundred fifty-one thousand, four hundred eighty-eight".