275002042788000 has 1920 divisors, whose sum is σ = 1150280812961280. Its totient is φ = 63696568320000.

The previous prime is 275002042787999. The next prime is 275002042788007. The reversal of 275002042788000 is 887240200572.

275002042788000 is a `hidden beast` number, since 2 + 7 + 500 + 20 + 42 + 7 + 8 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×275002042788000² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (275002042788007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 115498546810 + ... + 115498549190.

It is an arithmetic number, because the mean of its divisors is an integer number (599104590084).

Almost surely, 2^{275002042788000} is an apocalyptic number.

275002042788000 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 275002042788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575140406480640).

275002042788000 is an abundant number, since it is smaller than the sum of its proper divisors (875278770173280).

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

275002042788000 is a wasteful number, since it uses less digits than its factorization.

275002042788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

Adding to 275002042788000 its reverse (887240200572), we get a palindrome (275889282988572).

The spelling of 275002042788000 in words is "two hundred seventy-five trillion, two billion, forty-two million, seven hundred eighty-eight thousand".