260558087040 has 512 divisors, whose sum is σ = 972615859200. Its totient is φ = 65793024000.

The previous prime is 260558087033. The next prime is 260558087077. The reversal of 260558087040 is 40780855062.

260558087040 is a `hidden beast` number, since 2 + 60 + 5 + 580 + 8 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40138195 + ... + 40144685.

It is an arithmetic number, because the mean of its divisors is an integer number (1899640350).

Almost surely, 2^260558087040 is an apocalyptic number.

260558087040 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 260558087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486307929600).

260558087040 is an abundant number, since it is smaller than the sum of its proper divisors (712057772160).

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

260558087040 is a wasteful number, since it uses less digits than its factorization.

260558087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 260558087040 in words is "two hundred sixty billion, five hundred fifty-eight million, eighty-seven thousand, forty".