260775690240 has 480 divisors, whose sum is σ = 927986605056. Its totient is φ = 62096670720.

The previous prime is 260775690239. The next prime is 260775690257. The reversal of 260775690240 is 42096577062.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×260775690240⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 260775690240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99039964 + ... + 99042596.

Almost surely, 2^260775690240 is an apocalyptic number.

260775690240 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 260775690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463993302528).

260775690240 is an abundant number, since it is smaller than the sum of its proper divisors (667210914816).

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

260775690240 is a wasteful number, since it uses less digits than its factorization.

260775690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 260775690240 in words is "two hundred sixty billion, seven hundred seventy-five million, six hundred ninety thousand, two hundred forty".