258151836096 has 672 divisors, whose sum is σ = 949779038208. Its totient is φ = 65091962880.

The previous prime is 258151836077. The next prime is 258151836097. The reversal of 258151836096 is 690638151852.

258151836096 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 518 + 36 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258151836097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425291025 + ... + 425291631.

It is an arithmetic number, because the mean of its divisors is an integer number (1413361664).

Almost surely, 2^258151836096 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 258151836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474889519104).

258151836096 is an abundant number, since it is smaller than the sum of its proper divisors (691627202112).

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

258151836096 is a wasteful number, since it uses less digits than its factorization.

258151836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 258151836096 in words is "two hundred fifty-eight billion, one hundred fifty-one million, eight hundred thirty-six thousand, ninety-six".