1258080000 has 180 divisors, whose sum is σ = 4185666408. Its totient is φ = 335360000.

The previous prime is 1258079983. The next prime is 1258080011. The reversal of 1258080000 is 808521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 478690 + ... + 481310.

Almost surely, 2^1258080000 is an apocalyptic number.

1258080000 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 1258080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092833204).

1258080000 is an abundant number, since it is smaller than the sum of its proper divisors (2927586408).

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

1258080000 is an frugal number, since it uses more digits than its factorization.

1258080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1258080000 is about 35469.4234517563. The cubic root of 1258080000 is about 1079.5334061276.

Adding to 1258080000 its reverse (808521), we get a palindrome (1258888521).

It can be divided in two parts, 12 and 58080000, that multiplied together give a square (696960000 = 26400²).

The spelling of 1258080000 in words is "one billion, two hundred fifty-eight million, eighty thousand".