275900284080 has 160 divisors (see below), whose sum is σ = 950825304000. Its totient is φ = 73534537728.

The previous prime is 275900284031. The next prime is 275900284087. The reversal of 275900284080 is 80482009572.

275900284080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×275900284080² (a number of 24 digits) contains 22 as substring.

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 (275900284087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4177072 + ... + 4242608.

It is an arithmetic number, because the mean of its divisors is an integer number (5942658150).

Almost surely, 2^275900284080 is an apocalyptic number.

275900284080 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 275900284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475412652000).

275900284080 is an abundant number, since it is smaller than the sum of its proper divisors (674925019920).

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

275900284080 is a wasteful number, since it uses less digits than its factorization.

275900284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67508 (or 67496 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 275900284080 in words is "two hundred seventy-five billion, nine hundred million, two hundred eighty-four thousand, eighty".