265712166720 has 3360 divisors, whose sum is σ = 1373440992000. Its totient is φ = 48283361280.

The previous prime is 265712166697. The next prime is 265712166721. The reversal of 265712166720 is 27661217562.

265712166720 is a `hidden beast` number, since 2 + 6 + 571 + 2 + 1 + 6 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265712166721) 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 479 ways as a sum of consecutive naturals, for example, 13984850871 + ... + 13984850889.

It is an arithmetic number, because the mean of its divisors is an integer number (408762200).

Almost surely, 2^265712166720 is an apocalyptic number.

265712166720 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 265712166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686720496000).

265712166720 is an abundant number, since it is smaller than the sum of its proper divisors (1107728825280).

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

265712166720 is a wasteful number, since it uses less digits than its factorization.

265712166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 265712166720 in words is "two hundred sixty-five billion, seven hundred twelve million, one hundred sixty-six thousand, seven hundred twenty".