1258826000640 has 432 divisors, whose sum is σ = 4370214098880. Its totient is φ = 308670136320.

The previous prime is 1258826000599. The next prime is 1258826000651. The reversal of 1258826000640 is 460006288521.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1258826000592 and 1258826000601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174566635 + ... + 174573845.

It is an arithmetic number, because the mean of its divisors is an integer number (10116236340).

Almost surely, 2^{1258826000640} is an apocalyptic number.

1258826000640 is a gapful number since it is divisible by the number (10) 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 1258826000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185107049440).

1258826000640 is an abundant number, since it is smaller than the sum of its proper divisors (3111388098240).

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

1258826000640 is a wasteful number, since it uses less digits than its factorization.

1258826000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 1258826000640 in words is "one trillion, two hundred fifty-eight billion, eight hundred twenty-six million, six hundred forty", and thus it is an aban number.