13542227206272 has 192 divisors, whose sum is σ = 40230797568000. Its totient is φ = 4367965409280.

The previous prime is 13542227206259. The next prime is 13542227206357. The reversal of 13542227206272 is 27260272224531.

13542227206272 is a `hidden beast` number, since 1 + 3 + 542 + 2 + 27 + 20 + 62 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13542227206272² (a number of 27 digits) contains 22 as substring.

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, 443134929 + ... + 443165487.

It is an arithmetic number, because the mean of its divisors is an integer number (209535404000).

Almost surely, 2^{13542227206272} is an apocalyptic number.

13542227206272 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 13542227206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115398784000).

13542227206272 is an abundant number, since it is smaller than the sum of its proper divisors (26688570361728).

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

13542227206272 is a wasteful number, since it uses less digits than its factorization.

13542227206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43019 (or 43004 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 13542227206272 in words is "thirteen trillion, five hundred forty-two billion, two hundred twenty-seven million, two hundred six thousand, two hundred seventy-two".