260228829600 has 180 divisors, whose sum is σ = 949004177814. Its totient is φ = 69394337280.

The previous prime is 260228829589. The next prime is 260228829613. The reversal of 260228829600 is 6928822062.

260228829600 is a `hidden beast` number, since 260 + 22 + 88 + 296 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 147244108176 + 112984721424 = 383724^2 + 336132^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1943139 + ... + 2072738.

Almost surely, 2^260228829600 is an apocalyptic number.

260228829600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260228829600 is an abundant number, since it is smaller than the sum of its proper divisors (688775348214).

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

260228829600 is a wasteful number, since it uses less digits than its factorization.

260228829600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015909 (or 4015887 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 260228829600 in words is "two hundred sixty billion, two hundred twenty-eight million, eight hundred twenty-nine thousand, six hundred".