1258138449270 has 144 divisors (see below), whose sum is σ = 3330600109200. Its totient is φ = 329512157568.

The previous prime is 1258138449263. The next prime is 1258138449313. The reversal of 1258138449270 is 729448318521.

1258138449270 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 1 + 3 + 84 + 492 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140995029 + ... + 141003951.

It is an arithmetic number, because the mean of its divisors is an integer number (23129167425).

Almost surely, 2^{1258138449270} is an apocalyptic number.

1258138449270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258138449270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665300054600).

1258138449270 is an abundant number, since it is smaller than the sum of its proper divisors (2072461659930).

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

1258138449270 is a wasteful number, since it uses less digits than its factorization.

1258138449270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1258138449270 in words is "one trillion, two hundred fifty-eight billion, one hundred thirty-eight million, four hundred forty-nine thousand, two hundred seventy".