1256117760 has 320 divisors, whose sum is σ = 4728715200. Its totient is φ = 314966016.

The previous prime is 1256117749. The next prime is 1256117771. The reversal of 1256117760 is 677116521.

1256117760 is a `hidden beast` number, since 12 + 561 + 17 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1256117749) and next prime (1256117771).

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174506 + ... + 1175574.

It is an arithmetic number, because the mean of its divisors is an integer number (14777235).

Almost surely, 2^1256117760 is an apocalyptic number.

1256117760 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 1256117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364357600).

1256117760 is an abundant number, since it is smaller than the sum of its proper divisors (3472597440).

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

1256117760 is a wasteful number, since it uses less digits than its factorization.

1256117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1256117760 is about 35441.7516497139. The cubic root of 1256117760 is about 1078.9718610485.

The spelling of 1256117760 in words is "one billion, two hundred fifty-six million, one hundred seventeen thousand, seven hundred sixty".