260629509120 has 176 divisors, whose sum is σ = 860499322368. Its totient is φ = 67259105280.

The previous prime is 260629509103. The next prime is 260629509163. The reversal of 260629509120 is 21905926062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202482 + ... + 749838.

Almost surely, 2^260629509120 is an apocalyptic number.

260629509120 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 260629509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430249661184).

260629509120 is an abundant number, since it is smaller than the sum of its proper divisors (599869813248).

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

260629509120 is a wasteful number, since it uses less digits than its factorization.

260629509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547416 (or 547398 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 260629509120 in words is "two hundred sixty billion, six hundred twenty-nine million, five hundred nine thousand, one hundred twenty".