2506543216800 has 864 divisors, whose sum is σ = 10312919930880. Its totient is φ = 525247027200.

The previous prime is 2506543216799. The next prime is 2506543216841. The reversal of 2506543216800 is 86123456052.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69248307 + ... + 69284493.

It is an arithmetic number, because the mean of its divisors is an integer number (11936249920).

Almost surely, 2^{2506543216800} is an apocalyptic number.

2506543216800 is a gapful number since it is divisible by the number (20) 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 2506543216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156459965440).

2506543216800 is an abundant number, since it is smaller than the sum of its proper divisors (7806376714080).

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

2506543216800 is a wasteful number, since it uses less digits than its factorization.

2506543216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36274 (or 36254 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2506543216800 in words is "two trillion, five hundred six billion, five hundred forty-three million, two hundred sixteen thousand, eight hundred".