4563507200000 has 1080 divisors, whose sum is σ = 14182083444816. Its totient is φ = 1458831360000.

The previous prime is 4563507199991. The next prime is 4563507200009. The reversal of 4563507200000 is 27053654.

It is an interprime number because it is at equal distance from previous prime (4563507199991) and next prime (4563507200009).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4563507200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4563507200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42649599947 + ... + 42649600053.

Almost surely, 2^{4563507200000} is an apocalyptic number.

4563507200000 is a gapful number since it is divisible by the number (40) 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 4563507200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091041722408).

4563507200000 is an abundant number, since it is smaller than the sum of its proper divisors (9618576244816).

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

4563507200000 is an frugal number, since it uses more digits than its factorization.

4563507200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 4563507200000 in words is "four trillion, five hundred sixty-three billion, five hundred seven million, two hundred thousand".