258405983764992 has 1260 divisors, whose sum is σ = 956597109109290. Its totient is φ = 69485902036992.

The previous prime is 258405983764991. The next prime is 258405983765003. The reversal of 258405983764992 is 299467389504852.

258405983764992 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 0 + 5 + 98 + 37 + 6 + 499 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 257744273101056 + 661710663936 = 16054416^2 + 813456^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (258405983764991) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 5285540484 + ... + 5285589372.

Almost surely, 2^{258405983764992} 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 258405983764992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478298554554645).

258405983764992 is an abundant number, since it is smaller than the sum of its proper divisors (698191125344298).

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

258405983764992 is an frugal number, since it uses more digits than its factorization.

258405983764992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48973 (or 48918 counting only the distinct ones).

The product of its (nonzero) digits is 9405849600, while the sum is 81.

The spelling of 258405983764992 in words is "two hundred fifty-eight trillion, four hundred five billion, nine hundred eighty-three million, seven hundred sixty-four thousand, nine hundred ninety-two".