16563290034240 has 336 divisors, whose sum is σ = 57342996921600. Its totient is φ = 4388069351424.

The previous prime is 16563290034101. The next prime is 16563290034253. The reversal of 16563290034240 is 4243009236561.

16563290034240 is a `hidden beast` number, since 1 + 6 + 5 + 632 + 9 + 0 + 0 + 3 + 4 + 2 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568603996 + ... + 568633124.

Almost surely, 2^{16563290034240} is an apocalyptic number.

16563290034240 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 16563290034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28671498460800).

16563290034240 is an abundant number, since it is smaller than the sum of its proper divisors (40779706887360).

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

16563290034240 is a wasteful number, since it uses less digits than its factorization.

16563290034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30434 (or 30421 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 16563290034240 in words is "sixteen trillion, five hundred sixty-three billion, two hundred ninety million, thirty-four thousand, two hundred forty".