260503879680 has 1200 divisors, whose sum is σ = 1055082720384. Its totient is φ = 60940615680.

The previous prime is 260503879621. The next prime is 260503879711. The reversal of 260503879680 is 86978305062.

It is a happy number.

260503879680 is a `hidden beast` number, since 2 + 6 + 0 + 503 + 8 + 79 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3138600919 + ... + 3138601001.

Almost surely, 2^260503879680 is an apocalyptic number.

260503879680 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 260503879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527541360192).

260503879680 is an abundant number, since it is smaller than the sum of its proper divisors (794578840704).

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

260503879680 is an equidigital number, since it uses as much as digits as its factorization.

260503879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 260503879680 in words is "two hundred sixty billion, five hundred three million, eight hundred seventy-nine thousand, six hundred eighty".