1258986880 has 192 divisors, whose sum is σ = 3281666400. Its totient is φ = 460922880.

The previous prime is 1258986871. The next prime is 1258986893. The reversal of 1258986880 is 886898521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14145876 + ... + 14145964.

Almost surely, 2^1258986880 is an apocalyptic number.

1258986880 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 1258986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640833200).

1258986880 is an abundant number, since it is smaller than the sum of its proper divisors (2022679520).

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

1258986880 is an equidigital number, since it uses as much as digits as its factorization.

1258986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 55.

The square root of 1258986880 is about 35482.2051174952. The cubic root of 1258986880 is about 1079.7927357177.

The spelling of 1258986880 in words is "one billion, two hundred fifty-eight million, nine hundred eighty-six thousand, eight hundred eighty".