1258225140792 has 128 divisors (see below), whose sum is σ = 3476062978560. Its totient is φ = 377503272960.

The previous prime is 1258225140787. The next prime is 1258225140793. The reversal of 1258225140792 is 2970415228521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258225140793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70192743 + ... + 70210665.

It is an arithmetic number, because the mean of its divisors is an integer number (27156742020).

Almost surely, 2^{1258225140792} is an apocalyptic number.

1258225140792 is a gapful number since it is divisible by the number (12) 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 1258225140792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738031489280).

1258225140792 is an abundant number, since it is smaller than the sum of its proper divisors (2217837837768).

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

1258225140792 is a wasteful number, since it uses less digits than its factorization.

1258225140792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25453 (or 25449 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1258225140792 in words is "one trillion, two hundred fifty-eight billion, two hundred twenty-five million, one hundred forty thousand, seven hundred ninety-two".