275013348130800 has 960 divisors, whose sum is σ = 1070164876492800. Its totient is φ = 66777119539200.

The previous prime is 275013348130777. The next prime is 275013348130901. The reversal of 275013348130800 is 8031843310572.

275013348130800 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 1 + 334 + 8 + 1 + 308 + 0 + 0 = 666.

It is a super-2 number, since 2×275013348130800² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36238413406 + ... + 36238420994.

It is an arithmetic number, because the mean of its divisors is an integer number (1114755079680).

Almost surely, 2^{275013348130800} is an apocalyptic number.

275013348130800 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 275013348130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535082438246400).

275013348130800 is an abundant number, since it is smaller than the sum of its proper divisors (795151528362000).

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

275013348130800 is a wasteful number, since it uses less digits than its factorization.

275013348130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031 (or 14014 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 275013348130800 in words is "two hundred seventy-five trillion, thirteen billion, three hundred forty-eight million, one hundred thirty thousand, eight hundred".