260883252035640 has 768 divisors, whose sum is σ = 981847454515200. Its totient is φ = 59528054476800.

The previous prime is 260883252035599. The next prime is 260883252035641. The reversal of 260883252035640 is 46530252388062.

260883252035640 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 83 + 2 + 520 + 35 + 6 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260883252035641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31849983945 + ... + 31849992135.

It is an arithmetic number, because the mean of its divisors is an integer number (1278447206400).

Almost surely, 2^{260883252035640} is an apocalyptic number.

260883252035640 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 260883252035640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490923727257600).

260883252035640 is an abundant number, since it is smaller than the sum of its proper divisors (720964202479560).

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

260883252035640 is a wasteful number, since it uses less digits than its factorization.

260883252035640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908 (or 15901 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 260883252035640 in words is "two hundred sixty trillion, eight hundred eighty-three billion, two hundred fifty-two million, thirty-five thousand, six hundred forty".