260069400900 has 243 divisors, whose sum is σ = 828774263863. Its totient is φ = 68213587200.

The previous prime is 260069400889. The next prime is 260069400917. The reversal of 260069400900 is 9004960062.

The square root of 260069400900 is 509970.

It is a perfect power (a square), and thus also a powerful number.

260069400900 is a `hidden beast` number, since 2 + 600 + 6 + 9 + 40 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54120439044 + 205948961856 = 232638^2 + 453816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1361619805 + ... + 1361619995.

Almost surely, 2^260069400900 is an apocalyptic number.

260069400900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

260069400900 is the 509970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260069400900

260069400900 is an abundant number, since it is smaller than the sum of its proper divisors (568704862963).

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

260069400900 is a wasteful number, since it uses less digits than its factorization.

260069400900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 260069400900 by its sum of digits (36), we get a square (9362498432400 = 3059820²).

260069400900 divided by its sum of digits (36) gives a square (7224150025 = 84995²).

It can be divided in two parts, 260069 and 400900, that added together give a square (660969 = 813²).

The spelling of 260069400900 in words is "two hundred sixty billion, sixty-nine million, four hundred thousand, nine hundred".