276256020960 has 480 divisors, whose sum is σ = 1012705182720. Its totient is φ = 70869593088.

The previous prime is 276256020947. The next prime is 276256020991. The reversal of 276256020960 is 69020652672.

276256020960 is a `hidden beast` number, since 2 + 7 + 6 + 2 + 560 + 20 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 35934237 + ... + 35941923.

It is an arithmetic number, because the mean of its divisors is an integer number (2109802464).

Almost surely, 2^276256020960 is an apocalyptic number.

276256020960 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 276256020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506352591360).

276256020960 is an abundant number, since it is smaller than the sum of its proper divisors (736449161760).

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

276256020960 is a wasteful number, since it uses less digits than its factorization.

276256020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 276256020960 in words is "two hundred seventy-six billion, two hundred fifty-six million, twenty thousand, nine hundred sixty".