258116132736 has 512 divisors, whose sum is σ = 967751193600. Its totient is φ = 65774592000.

The previous prime is 258116132693. The next prime is 258116132779. The reversal of 258116132736 is 637231611852.

It is a happy number.

258116132736 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 1 + 613 + 27 + 3 + 6 = 666.

258116132736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258116132693) and next prime (258116132779).

It is a junction number, because it is equal to n+sod(n) for n = 258116132691 and 258116132700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14094786 + ... + 14113086.

It is an arithmetic number, because the mean of its divisors is an integer number (1890139050).

Almost surely, 2^258116132736 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 258116132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483875596800).

258116132736 is an abundant number, since it is smaller than the sum of its proper divisors (709635060864).

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

258116132736 is a wasteful number, since it uses less digits than its factorization.

258116132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395 (or 18377 counting only the distinct ones).

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

The spelling of 258116132736 in words is "two hundred fifty-eight billion, one hundred sixteen million, one hundred thirty-two thousand, seven hundred thirty-six".