260271560642688 has 576 divisors, whose sum is σ = 907249746312000. Its totient is φ = 71323493068800.

The previous prime is 260271560642683. The next prime is 260271560642693. The reversal of 260271560642688 is 886246065172062.

260271560642688 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 7 + 1 + 560 + 6 + 4 + 2 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (260271560642683) and next prime (260271560642693).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (260271560642683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246659323 + ... + 247712261.

It is an arithmetic number, because the mean of its divisors is an integer number (1575086365125).

Almost surely, 2^{260271560642688} is an apocalyptic number.

260271560642688 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 260271560642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453624873156000).

260271560642688 is an abundant number, since it is smaller than the sum of its proper divisors (646978185669312).

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

260271560642688 is a wasteful number, since it uses less digits than its factorization.

260271560642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053153 (or 1053131 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 260271560642688 in words is "two hundred sixty trillion, two hundred seventy-one billion, five hundred sixty million, six hundred forty-two thousand, six hundred eighty-eight".