258308462730240 has 5280 divisors, whose sum is σ = 1149474754257984. Its totient is φ = 54900062945280.

The previous prime is 258308462730239. The next prime is 258308462730287. The reversal of 258308462730240 is 42037264803852.

258308462730240 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 0 + 8 + 4 + 627 + 3 + 0 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1224210723735 + ... + 1224210723945.

Almost surely, 2^{258308462730240} is an apocalyptic number.

258308462730240 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 258308462730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574737377128992).

258308462730240 is an abundant number, since it is smaller than the sum of its proper divisors (891166291527744).

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

258308462730240 is a wasteful number, since it uses less digits than its factorization.

258308462730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 258308462730240 in words is "two hundred fifty-eight trillion, three hundred eight billion, four hundred sixty-two million, seven hundred thirty thousand, two hundred forty".