258161671530 has 192 divisors, whose sum is σ = 796875625728. Its totient is φ = 58907865600.

The previous prime is 258161671519. The next prime is 258161671583. The reversal of 258161671530 is 35176161852.

258161671530 is a `hidden beast` number, since 2 + 58 + 1 + 6 + 1 + 67 + 1 + 530 = 666.

It is a super-2 number, since 2×258161671530² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10210384 + ... + 10235636.

It is an arithmetic number, because the mean of its divisors is an integer number (4150393884).

Almost surely, 2^258161671530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258161671530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398437812864).

258161671530 is an abundant number, since it is smaller than the sum of its proper divisors (538713954198).

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

258161671530 is a wasteful number, since it uses less digits than its factorization.

258161671530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25883 (or 25871 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 258161671530 in words is "two hundred fifty-eight billion, one hundred sixty-one million, six hundred seventy-one thousand, five hundred thirty".