1258133921280 has 320 divisors, whose sum is σ = 4623107227200. Its totient is φ = 323932815360.

The previous prime is 1258133921267. The next prime is 1258133921287. The reversal of 1258133921280 is 821293318521.

1258133921280 is a `hidden beast` number, since 1 + 25 + 8 + 1 + 339 + 212 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258133921287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690650 + ... + 2318310.

It is an arithmetic number, because the mean of its divisors is an integer number (14447210085).

Almost surely, 2^{1258133921280} is an apocalyptic number.

1258133921280 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 1258133921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311553613600).

1258133921280 is an abundant number, since it is smaller than the sum of its proper divisors (3364973305920).

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

1258133921280 is an equidigital number, since it uses as much as digits as its factorization.

1258133921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627722 (or 627700 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1258133921280 in words is "one trillion, two hundred fifty-eight billion, one hundred thirty-three million, nine hundred twenty-one thousand, two hundred eighty".