260123931648 has 528 divisors, whose sum is σ = 917376969600. Its totient is φ = 69297242112.

The previous prime is 260123931553. The next prime is 260123931673. The reversal of 260123931648 is 846139321062.

260123931648 is a `hidden beast` number, since 2 + 60 + 1 + 239 + 316 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123926503 + ... + 123928601.

Almost surely, 2^260123931648 is an apocalyptic number.

260123931648 is a gapful number since it is divisible by the number (28) 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 260123931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458688484800).

260123931648 is an abundant number, since it is smaller than the sum of its proper divisors (657253037952).

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

260123931648 is a wasteful number, since it uses less digits than its factorization.

260123931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 260123931648 in words is "two hundred sixty billion, one hundred twenty-three million, nine hundred thirty-one thousand, six hundred forty-eight".