15985355352560 has 320 divisors, whose sum is σ = 42856502008320. Its totient is φ = 5484005130240.

The previous prime is 15985355352521. The next prime is 15985355352583. The reversal of 15985355352560 is 6525355358951.

It is a Cunningham number, because it is equal to 3998169²-1.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 15985355352493 and 15985355352502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8356170164 + ... + 8356172076.

It is an arithmetic number, because the mean of its divisors is an integer number (133926568776).

Almost surely, 2^{15985355352560} is an apocalyptic number.

15985355352560 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 15985355352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21428251004160).

15985355352560 is an abundant number, since it is smaller than the sum of its proper divisors (26871146655760).

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

15985355352560 is a wasteful number, since it uses less digits than its factorization.

15985355352560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 121500000, while the sum is 62.

The spelling of 15985355352560 in words is "fifteen trillion, nine hundred eighty-five billion, three hundred fifty-five million, three hundred fifty-two thousand, five hundred sixty".