260904885696 has 504 divisors, whose sum is σ = 940914911664. Its totient is φ = 68511744000.

The previous prime is 260904885679. The next prime is 260904885697. The reversal of 260904885696 is 696588409062.

260904885696 is a `hidden beast` number, since 2 + 6 + 0 + 90 + 488 + 5 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260904885697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92093496 + ... + 92096328.

It is an arithmetic number, because the mean of its divisors is an integer number (1866894666).

Almost surely, 2^260904885696 is an apocalyptic number.

260904885696 is a gapful number since it is divisible by the number (26) 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 260904885696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470457455832).

260904885696 is an abundant number, since it is smaller than the sum of its proper divisors (680010025968).

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

260904885696 is a wasteful number, since it uses less digits than its factorization.

260904885696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 260904885696 in words is "two hundred sixty billion, nine hundred four million, eight hundred eighty-five thousand, six hundred ninety-six".