16282740960 has 192 divisors, whose sum is σ = 58530427200. Its totient is φ = 4224669696.

The previous prime is 16282740853. The next prime is 16282741019. The reversal of 16282740960 is 6904728261.

It is a happy number.

16282740960 is a `hidden beast` number, since 162 + 8 + 27 + 409 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108906 + ... + 210774.

It is an arithmetic number, because the mean of its divisors is an integer number (304845975).

Almost surely, 2^16282740960 is an apocalyptic number.

16282740960 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 16282740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29265213600).

16282740960 is an abundant number, since it is smaller than the sum of its proper divisors (42247686240).

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

16282740960 is a wasteful number, since it uses less digits than its factorization.

16282740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101930 (or 101916 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16282740960 in words is "sixteen billion, two hundred eighty-two million, seven hundred forty thousand, nine hundred sixty".