275268096000 has 1248 divisors, whose sum is σ = 1071631282176. Its totient is φ = 67829760000.

The previous prime is 275268095989. The next prime is 275268096017. The reversal of 275268096000 is 690862572.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5856767977 + ... + 5856768023.

It is an arithmetic number, because the mean of its divisors is an integer number (858678912).

Almost surely, 2^275268096000 is an apocalyptic number.

275268096000 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 275268096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535815641088).

275268096000 is an abundant number, since it is smaller than the sum of its proper divisors (796363186176).

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

275268096000 is a wasteful number, since it uses less digits than its factorization.

275268096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 275268096000 in words is "two hundred seventy-five billion, two hundred sixty-eight million, ninety-six thousand".