1258167680 has 256 divisors, whose sum is σ = 3798904320. Its totient is φ = 390297600.

The previous prime is 1258167661. The next prime is 1258167683. The reversal of 1258167680 is 867618521.

It is a happy number.

It is a super-3 number, since 3×1258167680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258167683) 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, 5962775 + ... + 5962985.

It is an arithmetic number, because the mean of its divisors is an integer number (14839470).

Almost surely, 2^1258167680 is an apocalyptic number.

1258167680 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 1258167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899452160).

1258167680 is an abundant number, since it is smaller than the sum of its proper divisors (2540736640).

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

1258167680 is an equidigital number, since it uses as much as digits as its factorization.

1258167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 1258167680 is about 35470.6594243750. The cubic root of 1258167680 is about 1079.5584843659.

The spelling of 1258167680 in words is "one billion, two hundred fifty-eight million, one hundred sixty-seven thousand, six hundred eighty".