1972277566884 has 81 divisors (see below), whose sum is σ = 5177562832897. Its totient is φ = 657350019216.

The previous prime is 1972277566879. The next prime is 1972277566901. The reversal of 1972277566884 is 4886657722791.

It is a happy number.

The square root of 1972277566884 is 1404378.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 877073456484 + 1095204110400 = 936522^2 + 1046520^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 227504902 + ... + 227513570.

Almost surely, 2^{1972277566884} is an apocalyptic number.

1972277566884 is the 1404378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972277566884

1972277566884 is an abundant number, since it is smaller than the sum of its proper divisors (3205285266013).

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

1972277566884 is an frugal number, since it uses more digits than its factorization.

1972277566884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366 (or 8674 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 1972277566884 in words is "one trillion, nine hundred seventy-two billion, two hundred seventy-seven million, five hundred sixty-six thousand, eight hundred eighty-four".