15680871360 has 672 divisors, whose sum is σ = 69444071424. Its totient is φ = 3151872000.

The previous prime is 15680871359. The next prime is 15680871377. The reversal of 15680871360 is 6317808651.

15680871360 is a `hidden beast` number, since 1 + 568 + 0 + 87 + 1 + 3 + 6 + 0 = 666.

15680871360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6873420 + ... + 6875700.

It is an arithmetic number, because the mean of its divisors is an integer number (103339392).

Almost surely, 2^15680871360 is an apocalyptic number.

15680871360 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 15680871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34722035712).

15680871360 is an abundant number, since it is smaller than the sum of its proper divisors (53763200064).

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

15680871360 is a wasteful number, since it uses less digits than its factorization.

15680871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 15680871360 in words is "fifteen billion, six hundred eighty million, eight hundred seventy-one thousand, three hundred sixty".