16365130087680 has 864 divisors, whose sum is σ = 65455343291520. Its totient is φ = 3730919915520.

The previous prime is 16365130087643. The next prime is 16365130087693. The reversal of 16365130087680 is 8678003156361.

16365130087680 is a `hidden beast` number, since 1 + 6 + 365 + 130 + 0 + 8 + 76 + 80 = 666.

16365130087680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3711753316 + ... + 3711757724.

It is an arithmetic number, because the mean of its divisors is an integer number (75758499180).

Almost surely, 2^{16365130087680} is an apocalyptic number.

16365130087680 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 16365130087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32727671645760).

16365130087680 is an abundant number, since it is smaller than the sum of its proper divisors (49090213203840).

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

16365130087680 is a wasteful number, since it uses less digits than its factorization.

16365130087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 16365130087680 in words is "sixteen trillion, three hundred sixty-five billion, one hundred thirty million, eighty-seven thousand, six hundred eighty".