260531578000 has 80 divisors (see below), whose sum is σ = 646991630064. Its totient is φ = 101396044800.

The previous prime is 260531577991. The next prime is 260531578009. The reversal of 260531578000 is 875135062.

It is an interprime number because it is at equal distance from previous prime (260531577991) and next prime (260531578009).

It can be written as a sum of positive squares in 8 ways, for example, as 105648401296 + 154883176704 = 325036^2 + 393552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (260531578009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686349 + ... + 1834348.

Almost surely, 2^260531578000 is an apocalyptic number.

260531578000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260531578000 is an abundant number, since it is smaller than the sum of its proper divisors (386460052064).

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

260531578000 is a wasteful number, since it uses less digits than its factorization.

260531578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520757 (or 3520741 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 260531578000 in words is "two hundred sixty billion, five hundred thirty-one million, five hundred seventy-eight thousand".