260506543104 has 264 divisors, whose sum is σ = 763484492160. Its totient is φ = 85542912000.

The previous prime is 260506543081. The next prime is 260506543123. The reversal of 260506543104 is 401345605062.

260506543104 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 0 + 6 + 543 + 104 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222464439 + ... + 222465609.

Almost surely, 2^260506543104 is an apocalyptic number.

260506543104 is a gapful number since it is divisible by the number (24) 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 260506543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381742246080).

260506543104 is an abundant number, since it is smaller than the sum of its proper divisors (502977949056).

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

260506543104 is a wasteful number, since it uses less digits than its factorization.

260506543104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 260506543104 in words is "two hundred sixty billion, five hundred six million, five hundred forty-three thousand, one hundred four".