13637394007272 has 256 divisors, whose sum is σ = 44914564800000. Its totient is φ = 3751256033280.

The previous prime is 13637394007217. The next prime is 13637394007277. The reversal of 13637394007272 is 27270049373631.

13637394007272 is a `hidden beast` number, since 1 + 36 + 3 + 73 + 9 + 400 + 72 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13637394007277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14857372 + ... + 15748532.

It is an arithmetic number, because the mean of its divisors is an integer number (175447518750).

Almost surely, 2^{13637394007272} is an apocalyptic number.

13637394007272 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 13637394007272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22457282400000).

13637394007272 is an abundant number, since it is smaller than the sum of its proper divisors (31277170792728).

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

13637394007272 is a wasteful number, since it uses less digits than its factorization.

13637394007272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891561 (or 891551 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 13637394007272 in words is "thirteen trillion, six hundred thirty-seven billion, three hundred ninety-four million, seven thousand, two hundred seventy-two".