260102868480 has 960 divisors, whose sum is σ = 1118331422208. Its totient is φ = 54402416640.

The previous prime is 260102868479. The next prime is 260102868527. The reversal of 260102868480 is 84868201062.

260102868480 is a `hidden beast` number, since 2 + 6 + 0 + 102 + 8 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274659367 + ... + 274660313.

Almost surely, 2^260102868480 is an apocalyptic number.

260102868480 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 260102868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559165711104).

260102868480 is an abundant number, since it is smaller than the sum of its proper divisors (858228553728).

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

260102868480 is a wasteful number, since it uses less digits than its factorization.

260102868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 260102868480 in words is "two hundred sixty billion, one hundred two million, eight hundred sixty-eight thousand, four hundred eighty".