1517200860672 has 720 divisors, whose sum is σ = 5186737670400. Its totient is φ = 418185732096.

The previous prime is 1517200860661. The next prime is 1517200860727. The reversal of 1517200860672 is 2760680027151.

1517200860672 is a `hidden beast` number, since 1 + 5 + 17 + 20 + 0 + 8 + 606 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7624124829 + ... + 7624125027.

It is an arithmetic number, because the mean of its divisors is an integer number (7203802320).

Almost surely, 2^{1517200860672} is an apocalyptic number.

1517200860672 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 1517200860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593368835200).

1517200860672 is an abundant number, since it is smaller than the sum of its proper divisors (3669536809728).

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

1517200860672 is a wasteful number, since it uses less digits than its factorization.

1517200860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1517200860672 in words is "one trillion, five hundred seventeen billion, two hundred million, eight hundred sixty thousand, six hundred seventy-two".