2872145538768 has 160 divisors (see below), whose sum is σ = 8521426736640. Its totient is φ = 824424583680.

The previous prime is 2872145538763. The next prime is 2872145538841. The reversal of 2872145538768 is 8678355412782.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2872145538699 and 2872145538708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872145538763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94255471 + ... + 94285937.

It is an arithmetic number, because the mean of its divisors is an integer number (53258917104).

Almost surely, 2^{2872145538768} 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 2872145538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260713368320).

2872145538768 is an abundant number, since it is smaller than the sum of its proper divisors (5649281197872).

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

2872145538768 is a wasteful number, since it uses less digits than its factorization.

2872145538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39905 (or 39899 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 66.

The spelling of 2872145538768 in words is "two trillion, eight hundred seventy-two billion, one hundred forty-five million, five hundred thirty-eight thousand, seven hundred sixty-eight".