15217601438052 has 240 divisors, whose sum is σ = 43067136604800. Its totient is φ = 4657785679872.

The previous prime is 15217601438041. The next prime is 15217601438093. The reversal of 15217601438052 is 25083410671251.

15217601438052 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 7 + 601 + 4 + 38 + 0 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15217601437989 and 15217601438007.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 713994948 + ... + 714016260.

It is an arithmetic number, because the mean of its divisors is an integer number (179446402520).

Almost surely, 2^{15217601438052} is an apocalyptic number.

15217601438052 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 15217601438052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21533568302400).

15217601438052 is an abundant number, since it is smaller than the sum of its proper divisors (27849535166748).

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

15217601438052 is a wasteful number, since it uses less digits than its factorization.

15217601438052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224 (or 22213 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 15217601438052 in words is "fifteen trillion, two hundred seventeen billion, six hundred one million, four hundred thirty-eight thousand, fifty-two".