258720371052 has 192 divisors, whose sum is σ = 756862009344. Its totient is φ = 67575029760.

The previous prime is 258720371011. The next prime is 258720371053. The reversal of 258720371052 is 250173027852.

It is a junction number, because it is equal to n+sod(n) for n = 258720370995 and 258720371013.

It is not an unprimeable number, because it can be changed into a prime (258720371053) 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, 3669928 + ... + 3739760.

It is an arithmetic number, because the mean of its divisors is an integer number (3941989632).

Almost surely, 2^258720371052 is an apocalyptic number.

258720371052 is a gapful number since it is divisible by the number (22) 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 258720371052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378431004672).

258720371052 is an abundant number, since it is smaller than the sum of its proper divisors (498141638292).

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

258720371052 is a wasteful number, since it uses less digits than its factorization.

258720371052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70008 (or 70006 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 258720371052 in words is "two hundred fifty-eight billion, seven hundred twenty million, three hundred seventy-one thousand, fifty-two".