275520448000 has 320 divisors, whose sum is σ = 788558779008. Its totient is φ = 94057267200.

The previous prime is 275520447973. The next prime is 275520448033. The reversal of 275520448000 is 844025572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×275520448000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115134804 + ... + 115137196.

Almost surely, 2^275520448000 is an apocalyptic number.

275520448000 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 275520448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394279389504).

275520448000 is an abundant number, since it is smaller than the sum of its proper divisors (513038331008).

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

275520448000 is an equidigital number, since it uses as much as digits as its factorization.

275520448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 275520448000 in words is "two hundred seventy-five billion, five hundred twenty million, four hundred forty-eight thousand".