16340290560 has 264 divisors, whose sum is σ = 61767750096. Its totient is φ = 3961159680.

The previous prime is 16340290531. The next prime is 16340290573. The reversal of 16340290560 is 6509204361.

It is a happy number.

16340290560 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 0 + 2 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×16340290560² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490762 + ... + 522998.

Almost surely, 2^16340290560 is an apocalyptic number.

16340290560 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 16340290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30883875048).

16340290560 is an abundant number, since it is smaller than the sum of its proper divisors (45427459536).

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

16340290560 is a wasteful number, since it uses less digits than its factorization.

16340290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32279 (or 32258 counting only the distinct ones).

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

The spelling of 16340290560 in words is "sixteen billion, three hundred forty million, two hundred ninety thousand, five hundred sixty".