265608668160 has 1320 divisors, whose sum is σ = 1075238989440. Its totient is φ = 62626037760.

The previous prime is 265608668089. The next prime is 265608668183. The reversal of 265608668160 is 61866806562.

It is a happy number.

265608668160 is a `hidden beast` number, since 2 + 6 + 560 + 8 + 6 + 68 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 265608668097 and 265608668106.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3362135001 + ... + 3362135079.

It is an arithmetic number, because the mean of its divisors is an integer number (814574992).

Almost surely, 2^265608668160 is an apocalyptic number.

265608668160 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 265608668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537619494720).

265608668160 is an abundant number, since it is smaller than the sum of its proper divisors (809630321280).

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

265608668160 is a wasteful number, since it uses less digits than its factorization.

265608668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 265608668160 in words is "two hundred sixty-five billion, six hundred eight million, six hundred sixty-eight thousand, one hundred sixty".