260488949760 has 1040 divisors, whose sum is σ = 1031009164416. Its totient is φ = 62511906816.

The previous prime is 260488949729. The next prime is 260488949761. The reversal of 260488949760 is 67949884062.

260488949760 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 8 + 89 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260488949761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1013575552 + ... + 1013575808.

Almost surely, 2^260488949760 is an apocalyptic number.

260488949760 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 260488949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515504582208).

260488949760 is an abundant number, since it is smaller than the sum of its proper divisors (770520214656).

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

260488949760 is a wasteful number, since it uses less digits than its factorization.

260488949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 260488949760 in words is "two hundred sixty billion, four hundred eighty-eight million, nine hundred forty-nine thousand, seven hundred sixty".