16394002560 has 1024 divisors, whose sum is σ = 69092352000. Its totient is φ = 3634937856.

The previous prime is 16394002543. The next prime is 16394002591. The reversal of 16394002560 is 6520049361.

It is a happy number.

16394002560 is a `hidden beast` number, since 1 + 6 + 3 + 94 + 0 + 0 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98167597 + ... + 98167763.

It is an arithmetic number, because the mean of its divisors is an integer number (67473000).

Almost surely, 2^16394002560 is an apocalyptic number.

16394002560 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 16394002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546176000).

16394002560 is an abundant number, since it is smaller than the sum of its proper divisors (52698349440).

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

16394002560 is a wasteful number, since it uses less digits than its factorization.

16394002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 16394002560 in words is "sixteen billion, three hundred ninety-four million, two thousand, five hundred sixty".