260231241564 has 192 divisors, whose sum is σ = 819435294720. Its totient is φ = 69718993920.

The previous prime is 260231241541. The next prime is 260231241623. The reversal of 260231241564 is 465142132062.

260231241564 is a `hidden beast` number, since 2 + 6 + 0 + 231 + 2 + 415 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3445534 + ... + 3520250.

It is an arithmetic number, because the mean of its divisors is an integer number (4267892160).

Almost surely, 2^260231241564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260231241564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409717647360).

260231241564 is an abundant number, since it is smaller than the sum of its proper divisors (559204053156).

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

260231241564 is a wasteful number, since it uses less digits than its factorization.

260231241564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75025 (or 75017 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 2602312 and 41564, that added together give a square (2643876 = 1626²).

The spelling of 260231241564 in words is "two hundred sixty billion, two hundred thirty-one million, two hundred forty-one thousand, five hundred sixty-four".