258224628480 has 1728 divisors, whose sum is σ = 1130391521280. Its totient is φ = 48816193536.

The previous prime is 258224628479. The next prime is 258224628523. The reversal of 258224628480 is 84826422852.

It is a happy number.

It is a super-2 number, since 2×258224628480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2901400276 + ... + 2901400364.

It is an arithmetic number, because the mean of its divisors is an integer number (654161760).

Almost surely, 2^258224628480 is an apocalyptic number.

258224628480 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 258224628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565195760640).

258224628480 is an abundant number, since it is smaller than the sum of its proper divisors (872166892800).

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

258224628480 is a wasteful number, since it uses less digits than its factorization.

258224628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 51.

The spelling of 258224628480 in words is "two hundred fifty-eight billion, two hundred twenty-four million, six hundred twenty-eight thousand, four hundred eighty".