258250271482368 has 240 divisors, whose sum is σ = 813755341878336. Its totient is φ = 78193123614720.

The previous prime is 258250271482339. The next prime is 258250271482369. The reversal of 258250271482368 is 863284172052852.

258250271482368 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 50 + 2 + 71 + 482 + 36 + 8 = 666.

It is a super-2 number, since 2×258250271482368² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258250271482369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59384421 + ... + 63584667.

Almost surely, 2^{258250271482368} 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 258250271482368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406877670939168).

258250271482368 is an abundant number, since it is smaller than the sum of its proper divisors (555505070395968).

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

258250271482368 is a wasteful number, since it uses less digits than its factorization.

258250271482368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201495 (or 4201476 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 258250271482368 in words is "two hundred fifty-eight trillion, two hundred fifty billion, two hundred seventy-one million, four hundred eighty-two thousand, three hundred sixty-eight".