15980538562560 has 2304 divisors, whose sum is σ = 67179987463680. Its totient is φ = 3462125322240.

The previous prime is 15980538562501. The next prime is 15980538562591. The reversal of 15980538562560 is 6526583508951.

15980538562560 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 0 + 5 + 3 + 8 + 5 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×15980538562560³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95691847597 + ... + 95691847763.

It is an arithmetic number, because the mean of its divisors is an integer number (29157980670).

Almost surely, 2^{15980538562560} is an apocalyptic number.

15980538562560 is a gapful number since it is divisible by the number (10) 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 15980538562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33589993731840).

15980538562560 is an abundant number, since it is smaller than the sum of its proper divisors (51199448901120).

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

15980538562560 is a wasteful number, since it uses less digits than its factorization.

15980538562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 15980538562560 in words is "fifteen trillion, nine hundred eighty billion, five hundred thirty-eight million, five hundred sixty-two thousand, five hundred sixty".