258860160000 has 660 divisors, whose sum is σ = 1006155842692. Its totient is φ = 63700992000.

The previous prime is 258860159969. The next prime is 258860160007. The reversal of 258860160000 is 61068852.

It is a happy number.

258860160000 is a `hidden beast` number, since 2 + 588 + 60 + 16 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 258682097664 + 178062336 = 508608^2 + 13344^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258860160007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74878272 + ... + 74881728.

Almost surely, 2^258860160000 is an apocalyptic number.

258860160000 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 258860160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503077921346).

258860160000 is an abundant number, since it is smaller than the sum of its proper divisors (747295682692).

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

258860160000 is a wasteful number, since it uses less digits than its factorization.

258860160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 258860160000 in words is "two hundred fifty-eight billion, eight hundred sixty million, one hundred sixty thousand".