275568972800000 has 672 divisors, whose sum is σ = 753252368137920. Its totient is φ = 99967795200000.

The previous prime is 275568972799993. The next prime is 275568972800029. The reversal of 275568972800000 is 8279865572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154035199106 + ... + 154035200894.

It is an arithmetic number, because the mean of its divisors is an integer number (1120911262110).

Almost surely, 2^{275568972800000} is an apocalyptic number.

275568972800000 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 275568972800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376626184068960).

275568972800000 is an abundant number, since it is smaller than the sum of its proper divisors (477683395337920).

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

275568972800000 is an frugal number, since it uses more digits than its factorization.

275568972800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 59.

The spelling of 275568972800000 in words is "two hundred seventy-five trillion, five hundred sixty-eight billion, nine hundred seventy-two million, eight hundred thousand".