258267240000 has 1575 divisors, whose sum is σ = 1183678316535. Its totient is φ = 53665920000.

The previous prime is 258267239987. The next prime is 258267240037. The reversal of 258267240000 is 42762852.

The square root of 258267240000 is 508200.

It is a perfect power (a square), and thus also a powerful number.

258267240000 is a `hidden beast` number, since 2 + 582 + 6 + 72 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20248151616 + 238019088384 = 142296^2 + 487872^2 .

It is a tau number, because it is divible by the number of its divisors (1575).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 23478839995 + ... + 23478840005.

Almost surely, 2^258267240000 is an apocalyptic number.

258267240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

258267240000 is the 508200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258267240000

258267240000 is an abundant number, since it is smaller than the sum of its proper divisors (925411076535).

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

258267240000 is an frugal number, since it uses more digits than its factorization.

258267240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 258267240000 by its sum of digits (36), we get a square (9297620640000 = 3049200²).

258267240000 divided by its sum of digits (36) gives a square (7174090000 = 84700²).

The spelling of 258267240000 in words is "two hundred fifty-eight billion, two hundred sixty-seven million, two hundred forty thousand".