1258875682944 has 192 divisors, whose sum is σ = 3688540050720. Its totient is φ = 380125532160.

The previous prime is 1258875682919. The next prime is 1258875682957. The reversal of 1258875682944 is 4492865788521.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13101444 + ... + 13197180.

Almost surely, 2^{1258875682944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258875682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844270025360).

1258875682944 is an abundant number, since it is smaller than the sum of its proper divisors (2429664367776).

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

1258875682944 is a wasteful number, since it uses less digits than its factorization.

1258875682944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96059 (or 96036 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 69.

The spelling of 1258875682944 in words is "one trillion, two hundred fifty-eight billion, eight hundred seventy-five million, six hundred eighty-two thousand, nine hundred forty-four".