258226634880 has 1024 divisors, whose sum is σ = 1024194240000. Its totient is φ = 61200728064.

The previous prime is 258226634819. The next prime is 258226634881. The reversal of 258226634880 is 88436622852.

It is a happy number.

258226634880 is a `hidden beast` number, since 2 + 5 + 82 + 26 + 63 + 488 + 0 = 666.

It is a super-2 number, since 2×258226634880² (a number of 24 digits) contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (258226634881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 352286994 + ... + 352287726.

Almost surely, 2^258226634880 is an apocalyptic number.

258226634880 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 258226634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512097120000).

258226634880 is an abundant number, since it is smaller than the sum of its proper divisors (765967605120).

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

258226634880 is a wasteful number, since it uses less digits than its factorization.

258226634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 258226634880 in words is "two hundred fifty-eight billion, two hundred twenty-six million, six hundred thirty-four thousand, eight hundred eighty".