258661706434560 has 1536 divisors, whose sum is σ = 1106559994176000. Its totient is φ = 56470221619200.

The previous prime is 258661706434493. The next prime is 258661706434627. The reversal of 258661706434560 is 65434607166852.

258661706434560 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 6 + 1 + 7 + 0 + 64 + 3 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (258661706434493) and next prime (258661706434627).

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1620922456 + ... + 1621082024.

It is an arithmetic number, because the mean of its divisors is an integer number (720416662875).

Almost surely, 2^{258661706434560} is an apocalyptic number.

258661706434560 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 258661706434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553279997088000).

258661706434560 is an abundant number, since it is smaller than the sum of its proper divisors (847898287741440).

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

258661706434560 is a wasteful number, since it uses less digits than its factorization.

258661706434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159670 (or 159644 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 258661706434560 in words is "two hundred fifty-eight trillion, six hundred sixty-one billion, seven hundred six million, four hundred thirty-four thousand, five hundred sixty".