201563930304 has 560 divisors, whose sum is σ = 678087438336. Its totient is φ = 58662144000.

The previous prime is 201563930303. The next prime is 201563930317. The reversal of 201563930304 is 403039365102.

It is a happy number.

201563930304 is a `hidden beast` number, since 2 + 0 + 1 + 563 + 93 + 0 + 3 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (201563930303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175120129 + ... + 175121279.

Almost surely, 2^201563930304 is an apocalyptic number.

201563930304 is a gapful number since it is divisible by the number (24) 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 201563930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339043719168).

201563930304 is an abundant number, since it is smaller than the sum of its proper divisors (476523508032).

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

201563930304 is a wasteful number, since it uses less digits than its factorization.

201563930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 201563930304 in words is "two hundred one billion, five hundred sixty-three million, nine hundred thirty thousand, three hundred four".