275882112000 has 1760 divisors, whose sum is σ = 1168448561280. Its totient is φ = 64143360000.

The previous prime is 275882111987. The next prime is 275882112001. The reversal of 275882112000 is 211288572.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×275882112000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275882112001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4675967971 + ... + 4675968029.

It is an arithmetic number, because the mean of its divisors is an integer number (663891228).

Almost surely, 2^275882112000 is an apocalyptic number.

275882112000 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 275882112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584224280640).

275882112000 is an abundant number, since it is smaller than the sum of its proper divisors (892566449280).

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

275882112000 is a wasteful number, since it uses less digits than its factorization.

275882112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 275882112000 in words is "two hundred seventy-five billion, eight hundred eighty-two million, one hundred twelve thousand".