275948766720 has 1080 divisors, whose sum is σ = 1095984633744. Its totient is φ = 64110182400.

The previous prime is 275948766683. The next prime is 275948766763. The reversal of 275948766720 is 27667849572.

275948766720 is a `hidden beast` number, since 2 + 75 + 9 + 487 + 6 + 67 + 20 = 666.

It is a super-2 number, since 2×275948766720² (a number of 24 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 2679114189 + ... + 2679114291.

Almost surely, 2^275948766720 is an apocalyptic number.

275948766720 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 275948766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547992316872).

275948766720 is an abundant number, since it is smaller than the sum of its proper divisors (820035867024).

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

275948766720 is a wasteful number, since it uses less digits than its factorization.

275948766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 275948766720 in words is "two hundred seventy-five billion, nine hundred forty-eight million, seven hundred sixty-six thousand, seven hundred twenty".