275047641000 has 1152 divisors, whose sum is σ = 1101121257600. Its totient is φ = 61653504000.

The previous prime is 275047640969. The next prime is 275047641013. The reversal of 275047641000 is 146740572.

275047641000 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 4 + 7 + 641 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1536578911 + ... + 1536579089.

It is an arithmetic number, because the mean of its divisors is an integer number (955834425).

Almost surely, 2^275047641000 is an apocalyptic number.

275047641000 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 275047641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550560628800).

275047641000 is an abundant number, since it is smaller than the sum of its proper divisors (826073616600).

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

275047641000 is a wasteful number, since it uses less digits than its factorization.

275047641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 275047641000 in words is "two hundred seventy-five billion, forty-seven million, six hundred forty-one thousand".