275262128000 has 128 divisors (see below), whose sum is σ = 688908767040. Its totient is φ = 109374720000.

The previous prime is 275262127997. The next prime is 275262128003. The reversal of 275262128000 is 821262572.

It is an interprime number because it is at equal distance from previous prime (275262127997) and next prime (275262128003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×275262128000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275262128003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2359034 + ... + 2472966.

Almost surely, 2^275262128000 is an apocalyptic number.

275262128000 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 275262128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344454383520).

275262128000 is an abundant number, since it is smaller than the sum of its proper divisors (413646639040).

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

275262128000 is a wasteful number, since it uses less digits than its factorization.

275262128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114113 (or 114091 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 275262128000 in words is "two hundred seventy-five billion, two hundred sixty-two million, one hundred twenty-eight thousand".