2178900172800 has 1344 divisors, whose sum is σ = 9132937954560. Its totient is φ = 504511856640.

The previous prime is 2178900172753. The next prime is 2178900172811. The reversal of 2178900172800 is 82710098712.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1222040709 + ... + 1222042491.

It is an arithmetic number, because the mean of its divisors is an integer number (6795340740).

Almost surely, 2^{2178900172800} is an apocalyptic number.

2178900172800 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 2178900172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566468977280).

2178900172800 is an abundant number, since it is smaller than the sum of its proper divisors (6954037781760).

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

2178900172800 is a wasteful number, since it uses less digits than its factorization.

2178900172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 2178900172800 in words is "two trillion, one hundred seventy-eight billion, nine hundred million, one hundred seventy-two thousand, eight hundred".