258650112000 has 1024 divisors, whose sum is σ = 1025944657920. Its totient is φ = 56623104000.

The previous prime is 258650111981. The next prime is 258650112001. The reversal of 258650112000 is 211056852.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×258650112000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258650112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2666495952 + ... + 2666496048.

It is an arithmetic number, because the mean of its divisors is an integer number (1001899080).

Almost surely, 2^258650112000 is an apocalyptic number.

258650112000 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 258650112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512972328960).

258650112000 is an abundant number, since it is smaller than the sum of its proper divisors (767294545920).

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

258650112000 is an frugal number, since it uses more digits than its factorization.

258650112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 258650112000 its reverse (211056852), we get a palindrome (258861168852).

The spelling of 258650112000 in words is "two hundred fifty-eight billion, six hundred fifty million, one hundred twelve thousand".