1258579598640 has 480 divisors, whose sum is σ = 4919509416960. Its totient is φ = 260533039104.

The previous prime is 1258579598611. The next prime is 1258579598641. The reversal of 1258579598640 is 468959758521.

It is a super-2 number, since 2×1258579598640² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1258579598641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15005941 + ... + 15089579.

It is an arithmetic number, because the mean of its divisors is an integer number (10248977952).

Almost surely, 2^{1258579598640} is an apocalyptic number.

1258579598640 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 1258579598640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459754708480).

1258579598640 is an abundant number, since it is smaller than the sum of its proper divisors (3660929818320).

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

1258579598640 is a wasteful number, since it uses less digits than its factorization.

1258579598640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83741 (or 83722 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 69.

The spelling of 1258579598640 in words is "one trillion, two hundred fifty-eight billion, five hundred seventy-nine million, five hundred ninety-eight thousand, six hundred forty".