258779949120 has 896 divisors, whose sum is σ = 1141873459200. Its totient is φ = 53598412800.

The previous prime is 258779949101. The next prime is 258779949139. The reversal of 258779949120 is 21949977852.

258779949120 is a `hidden beast` number, since 2 + 58 + 7 + 7 + 99 + 491 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (258779949101) and next prime (258779949139).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 359916121 + ... + 359916839.

Almost surely, 2^258779949120 is an apocalyptic number.

258779949120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258779949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570936729600).

258779949120 is an abundant number, since it is smaller than the sum of its proper divisors (883093510080).

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

258779949120 is a wasteful number, since it uses less digits than its factorization.

258779949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 258779949120 in words is "two hundred fifty-eight billion, seven hundred seventy-nine million, nine hundred forty-nine thousand, one hundred twenty".