258151207950 has 144 divisors (see below), whose sum is σ = 719653845456. Its totient is φ = 68802048000.

The previous prime is 258151207943. The next prime is 258151207961. The reversal of 258151207950 is 59702151852.

258151207950 is a `hidden beast` number, since 2 + 5 + 81 + 512 + 0 + 7 + 9 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 258151207896 and 258151207905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26883150 + ... + 26892750.

It is an arithmetic number, because the mean of its divisors is an integer number (4997596149).

Almost surely, 2^258151207950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258151207950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359826922728).

258151207950 is an abundant number, since it is smaller than the sum of its proper divisors (461502637506).

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

258151207950 is a wasteful number, since it uses less digits than its factorization.

258151207950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11841 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 258151207950 in words is "two hundred fifty-eight billion, one hundred fifty-one million, two hundred seven thousand, nine hundred fifty".