258765382097280 has 1280 divisors, whose sum is σ = 938262394460160. Its totient is φ = 67958341632000.

The previous prime is 258765382097249. The next prime is 258765382097303. The reversal of 258765382097280 is 82790283567852.

It is a happy number.

258765382097280 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 6 + 538 + 2 + 0 + 9 + 7 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 258765382097199 and 258765382097208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 745721562067 + ... + 745721562413.

It is an arithmetic number, because the mean of its divisors is an integer number (733017495672).

Almost surely, 2^{258765382097280} is an apocalyptic number.

258765382097280 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 258765382097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469131197230080).

258765382097280 is an abundant number, since it is smaller than the sum of its proper divisors (679497012362880).

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

258765382097280 is a wasteful number, since it uses less digits than its factorization.

258765382097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 258765382097280 in words is "two hundred fifty-eight trillion, seven hundred sixty-five billion, three hundred eighty-two million, ninety-seven thousand, two hundred eighty".