2177678131200 has 2880 divisors, whose sum is σ = 10075207645440. Its totient is φ = 458647142400.

The previous prime is 2177678131193. The next prime is 2177678131229. The reversal of 2177678131200 is 21318767712.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128098713592 + ... + 128098713608.

It is an arithmetic number, because the mean of its divisors is an integer number (3498335988).

Almost surely, 2^{2177678131200} is an apocalyptic number.

2177678131200 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 2177678131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037603822720).

2177678131200 is an abundant number, since it is smaller than the sum of its proper divisors (7897529514240).

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

2177678131200 is an equidigital number, since it uses as much as digits as its factorization.

2177678131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 2177678131200 in words is "two trillion, one hundred seventy-seven billion, six hundred seventy-eight million, one hundred thirty-one thousand, two hundred".