258215237280 has 1728 divisors, whose sum is σ = 1219327095168. Its totient is φ = 48910417920.

The previous prime is 258215237243. The next prime is 258215237299. The reversal of 258215237280 is 82732512852.

258215237280 is a `hidden beast` number, since 2 + 58 + 2 + 1 + 523 + 72 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1584142479 + ... + 1584142641.

It is an arithmetic number, because the mean of its divisors is an integer number (705629106).

Almost surely, 2^258215237280 is an apocalyptic number.

258215237280 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 258215237280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609663547584).

258215237280 is an abundant number, since it is smaller than the sum of its proper divisors (961111857888).

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

258215237280 is a wasteful number, since it uses less digits than its factorization.

258215237280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 258215237280 in words is "two hundred fifty-eight billion, two hundred fifteen million, two hundred thirty-seven thousand, two hundred eighty".