2172738556800 has 2880 divisors, whose sum is σ = 10245545917200. Its totient is φ = 449994424320.

The previous prime is 2172738556799. The next prime is 2172738556831. The reversal of 2172738556800 is 86558372712.

2172738556800 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 7 + 3 + 8 + 556 + 80 + 0 = 666.

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6261494227 + ... + 6261494573.

Almost surely, 2^{2172738556800} is an apocalyptic number.

2172738556800 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 2172738556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122772958600).

2172738556800 is an abundant number, since it is smaller than the sum of its proper divisors (8072807360400).

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

2172738556800 is a wasteful number, since it uses less digits than its factorization.

2172738556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2172738556800 in words is "two trillion, one hundred seventy-two billion, seven hundred thirty-eight million, five hundred fifty-six thousand, eight hundred".