1256010880 has 256 divisors, whose sum is σ = 3348864000. Its totient is φ = 449003520.

The previous prime is 1256010869. The next prime is 1256010919. The reversal of 1256010880 is 880106521.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21288291 + ... + 21288349.

It is an arithmetic number, because the mean of its divisors is an integer number (13081500).

Almost surely, 2^1256010880 is an apocalyptic number.

1256010880 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 1256010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674432000).

1256010880 is an abundant number, since it is smaller than the sum of its proper divisors (2092853120).

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

1256010880 is a wasteful number, since it uses less digits than its factorization.

1256010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 1256010880 is about 35440.2437914865. The cubic root of 1256010880 is about 1078.9412578182.

The spelling of 1256010880 in words is "one billion, two hundred fifty-six million, ten thousand, eight hundred eighty".