1972957771824 has 320 divisors, whose sum is σ = 5874793989120. Its totient is φ = 565775400960.

The previous prime is 1972957771817. The next prime is 1972957771903. The reversal of 1972957771824 is 4281777592791.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593726227 + ... + 593729549.

It is an arithmetic number, because the mean of its divisors is an integer number (18358731216).

Almost surely, 2^{1972957771824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972957771824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937396994560).

1972957771824 is an abundant number, since it is smaller than the sum of its proper divisors (3901836217296).

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

1972957771824 is a wasteful number, since it uses less digits than its factorization.

1972957771824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4414 counting only the distinct ones).

The product of its digits is 124467840, while the sum is 69.

The spelling of 1972957771824 in words is "one trillion, nine hundred seventy-two billion, nine hundred fifty-seven million, seven hundred seventy-one thousand, eight hundred twenty-four".