2572165168980 has 288 divisors, whose sum is σ = 8150887422720. Its totient is φ = 605164032000.

The previous prime is 2572165168949. The next prime is 2572165169011. The reversal of 2572165168980 is 898615612752.

It is an interprime number because it is at equal distance from previous prime (2572165168949) and next prime (2572165169011).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107704681 + ... + 107728559.

It is an arithmetic number, because the mean of its divisors is an integer number (28301692440).

Almost surely, 2^{2572165168980} is an apocalyptic number.

2572165168980 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 2572165168980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075443711360).

2572165168980 is an abundant number, since it is smaller than the sum of its proper divisors (5578722253740).

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

2572165168980 is a wasteful number, since it uses less digits than its factorization.

2572165168980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24351 (or 24338 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 2572165168980 in words is "two trillion, five hundred seventy-two billion, one hundred sixty-five million, one hundred sixty-eight thousand, nine hundred eighty".