256076353960 has 384 divisors, whose sum is σ = 750214483200. Its totient is φ = 78045327360.

The previous prime is 256076353933. The next prime is 256076353969. The reversal of 256076353960 is 69353670652.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 256076353898 and 256076353907.

It is not an unprimeable number, because it can be changed into a prime (256076353969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45392740 + ... + 45398380.

It is an arithmetic number, because the mean of its divisors is an integer number (1953683550).

Almost surely, 2^256076353960 is an apocalyptic number.

256076353960 is a gapful number since it is divisible by the number (20) 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 256076353960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375107241600).

256076353960 is an abundant number, since it is smaller than the sum of its proper divisors (494138129240).

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

256076353960 is a wasteful number, since it uses less digits than its factorization.

256076353960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 52.

The spelling of 256076353960 in words is "two hundred fifty-six billion, seventy-six million, three hundred fifty-three thousand, nine hundred sixty".