7872787200000 has 1152 divisors, whose sum is σ = 27441398013120. Its totient is φ = 2005401600000.

The previous prime is 7872787199993. The next prime is 7872787200013. The reversal of 7872787200000 is 27872787.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57465599932 + ... + 57465600068.

Almost surely, 2^{7872787200000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7872787200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720699006560).

7872787200000 is an abundant number, since it is smaller than the sum of its proper divisors (19568610813120).

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

7872787200000 is an equidigital number, since it uses as much as digits as its factorization.

7872787200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 48.

The spelling of 7872787200000 in words is "seven trillion, eight hundred seventy-two billion, seven hundred eighty-seven million, two hundred thousand".