258163106003712 has 1728 divisors, whose sum is σ = 983318211133440. Its totient is φ = 65714640076800.

The previous prime is 258163106003623. The next prime is 258163106003713. The reversal of 258163106003712 is 217300601361852.

It is a happy number.

258163106003712 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 6 + 3 + 1 + 0 + 600 + 37 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (258163106003713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73529792037 + ... + 73529795547.

Almost surely, 2^{258163106003712} 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 258163106003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491659105566720).

258163106003712 is an abundant number, since it is smaller than the sum of its proper divisors (725155105129728).

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

258163106003712 is a wasteful number, since it uses less digits than its factorization.

258163106003712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 258163106003712 in words is "two hundred fifty-eight trillion, one hundred sixty-three billion, one hundred six million, three thousand, seven hundred twelve".