15985861056 has 448 divisors, whose sum is σ = 55241464320. Its totient is φ = 4478976000.

The previous prime is 15985861043. The next prime is 15985861057. The reversal of 15985861056 is 65016858951.

15985861056 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 586 + 1 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15985860993 and 15985861011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15985861057) 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, 19710891 + ... + 19711701.

It is an arithmetic number, because the mean of its divisors is an integer number (123306840).

Almost surely, 2^15985861056 is an apocalyptic number.

15985861056 is a gapful number since it is divisible by the number (16) 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 15985861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27620732160).

15985861056 is an abundant number, since it is smaller than the sum of its proper divisors (39255603264).

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

15985861056 is a wasteful number, since it uses less digits than its factorization.

15985861056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 15985861056 in words is "fifteen billion, nine hundred eighty-five million, eight hundred sixty-one thousand, fifty-six".