15531532414272 has 168 divisors, whose sum is σ = 50963041584000. Its totient is φ = 4430171685888.

The previous prime is 15531532414217. The next prime is 15531532414301. The reversal of 15531532414272 is 27241423513551.

15531532414272 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 1 + 532 + 4 + 1 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800247 + ... + 5630582.

It is an arithmetic number, because the mean of its divisors is an integer number (303351438000).

Almost surely, 2^{15531532414272} is an apocalyptic number.

15531532414272 is a gapful number since it is divisible by the number (12) 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 15531532414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25481520792000).

15531532414272 is an abundant number, since it is smaller than the sum of its proper divisors (35431509169728).

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

15531532414272 is a wasteful number, since it uses less digits than its factorization.

15531532414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431453 (or 6431440 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 15531532414272 in words is "fifteen trillion, five hundred thirty-one billion, five hundred thirty-two million, four hundred fourteen thousand, two hundred seventy-two".