260611668040 has 128 divisors (see below), whose sum is σ = 624808753920. Its totient is φ = 97492172800.

The previous prime is 260611667947. The next prime is 260611668101. The reversal of 260611668040 is 40866116062.

It is a happy number.

260611668040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 260611667984 and 260611668002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74650695 + ... + 74654185.

It is an arithmetic number, because the mean of its divisors is an integer number (4881318390).

Almost surely, 2^260611668040 is an apocalyptic number.

260611668040 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 260611668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312404376960).

260611668040 is an abundant number, since it is smaller than the sum of its proper divisors (364197085880).

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

260611668040 is a wasteful number, since it uses less digits than its factorization.

260611668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 260611668040 in words is "two hundred sixty billion, six hundred eleven million, six hundred sixty-eight thousand, forty".