7112008780800 has 1056 divisors, whose sum is σ = 30021427505664. Its totient is φ = 1441726464000.

The previous prime is 7112008780777. The next prime is 7112008780829. The reversal of 7112008780800 is 80878002117.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 242442934 + ... + 242472266.

Almost surely, 2^{7112008780800} is an apocalyptic number.

7112008780800 is a gapful number since it is divisible by the number (70) 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 7112008780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010713752832).

7112008780800 is an abundant number, since it is smaller than the sum of its proper divisors (22909418724864).

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

7112008780800 is a wasteful number, since it uses less digits than its factorization.

7112008780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29425 (or 29402 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 42.

The spelling of 7112008780800 in words is "seven trillion, one hundred twelve billion, eight million, seven hundred eighty thousand, eight hundred".