258254128145152 has 288 divisors, whose sum is σ = 573949118723904. Its totient is φ = 115443381043200.

The previous prime is 258254128145137. The next prime is 258254128145191. The reversal of 258254128145152 is 251541821452852.

It is a super-2 number, since 2×258254128145152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 258254128145093 and 258254128145102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2432153502 + ... + 2432259682.

It is an arithmetic number, because the mean of its divisors is an integer number (1992878884458).

Almost surely, 2^{258254128145152} 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 258254128145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286974559361952).

258254128145152 is an abundant number, since it is smaller than the sum of its proper divisors (315694990578752).

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

258254128145152 is a wasteful number, since it uses less digits than its factorization.

258254128145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106615 (or 106601 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 55.

The spelling of 258254128145152 in words is "two hundred fifty-eight trillion, two hundred fifty-four billion, one hundred twenty-eight million, one hundred forty-five thousand, one hundred fifty-two".