260080267487040 has 7560 divisors, whose sum is σ = 1337812215866280. Its totient is φ = 47446449684480.

The previous prime is 260080267487023. The next prime is 260080267487123. The reversal of 260080267487040 is 40784762080062.

It is a happy number.

260080267487040 is a `hidden beast` number, since 2 + 60 + 0 + 8 + 0 + 2 + 67 + 487 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4967050201344 + 255113217285696 = 2228688^2 + 15972264^2 .

It is a tau number, because it is divible by the number of its divisors (7560).

It is a super-2 number, since 2×260080267487040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 3881795037087 + ... + 3881795037153.

It is an arithmetic number, because the mean of its divisors is an integer number (176959287813).

Almost surely, 2^{260080267487040} is an apocalyptic number.

260080267487040 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 260080267487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668906107933140).

260080267487040 is an abundant number, since it is smaller than the sum of its proper divisors (1077731948379240).

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

260080267487040 is a wasteful number, since it uses less digits than its factorization.

260080267487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 260080267487040 in words is "two hundred sixty trillion, eighty billion, two hundred sixty-seven million, four hundred eighty-seven thousand, forty".