260204904960 has 1920 divisors, whose sum is σ = 1198120315392. Its totient is φ = 46714060800.

The previous prime is 260204904929. The next prime is 260204904983. The reversal of 260204904960 is 69409402062.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1437596070 + ... + 1437596250.

Almost surely, 2^260204904960 is an apocalyptic number.

260204904960 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 260204904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599060157696).

260204904960 is an abundant number, since it is smaller than the sum of its proper divisors (937915410432).

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

260204904960 is a wasteful number, since it uses less digits than its factorization.

260204904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 260204904960 in words is "two hundred sixty billion, two hundred four million, nine hundred four thousand, nine hundred sixty".