260501623976880 has 960 divisors, whose sum is σ = 1080140241600000. Its totient is φ = 57305990522880.

The previous prime is 260501623976873. The next prime is 260501623976887. The reversal of 260501623976880 is 88679326105062.

It is a happy number.

260501623976880 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 0 + 162 + 397 + 6 + 8 + 80 = 666.

260501623976880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260501623976873) and next prime (260501623976887).

It is a super-2 number, since 2×260501623976880² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260501623976887) 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, 199813371 + ... + 201112869.

It is an arithmetic number, because the mean of its divisors is an integer number (1125146085000).

Almost surely, 2^{260501623976880} is an apocalyptic number.

260501623976880 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 260501623976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540070120800000).

260501623976880 is an abundant number, since it is smaller than the sum of its proper divisors (819638617623120).

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

260501623976880 is a wasteful number, since it uses less digits than its factorization.

260501623976880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299615 (or 1299592 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 260501623976880 in words is "two hundred sixty trillion, five hundred one billion, six hundred twenty-three million, nine hundred seventy-six thousand, eight hundred eighty".