1972556812800 has 720 divisors, whose sum is σ = 8143453910592. Its totient is φ = 446636851200.

The previous prime is 1972556812771. The next prime is 1972556812813. The reversal of 1972556812800 is 82186552791.

1972556812800 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 556 + 8 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86273370 + ... + 86296230.

Almost surely, 2^{1972556812800} is an apocalyptic number.

1972556812800 is a gapful number since it is divisible by the number (10) 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 1972556812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071726955296).

1972556812800 is an abundant number, since it is smaller than the sum of its proper divisors (6170897097792).

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

1972556812800 is a wasteful number, since it uses less digits than its factorization.

1972556812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23009 (or 22985 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1972556812800 in words is "one trillion, nine hundred seventy-two billion, five hundred fifty-six million, eight hundred twelve thousand, eight hundred".