258135213672 has 192 divisors, whose sum is σ = 818120983680. Its totient is φ = 71989295616.

The previous prime is 258135213659. The next prime is 258135213709. The reversal of 258135213672 is 276312531852.

258135213672 is a `hidden beast` number, since 2 + 58 + 1 + 3 + 521 + 3 + 6 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42755838 + ... + 42761874.

It is an arithmetic number, because the mean of its divisors is an integer number (4261046790).

Almost surely, 2^258135213672 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 258135213672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409060491840).

258135213672 is an abundant number, since it is smaller than the sum of its proper divisors (559985770008).

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

258135213672 is a wasteful number, since it uses less digits than its factorization.

258135213672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072 (or 8065 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 258135213672 in words is "two hundred fifty-eight billion, one hundred thirty-five million, two hundred thirteen thousand, six hundred seventy-two".