275160077015100 has 144 divisors (see below), whose sum is σ = 809906683904640. Its totient is φ = 72107133612800.

The previous prime is 275160077015023. The next prime is 275160077015137. The reversal of 275160077015100 is 1510770061572.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47922859 + ... + 53356541.

It is an arithmetic number, because the mean of its divisors is an integer number (5624351971560).

Almost surely, 2^{275160077015100} is an apocalyptic number.

275160077015100 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 275160077015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404953341952320).

275160077015100 is an abundant number, since it is smaller than the sum of its proper divisors (534746606889540).

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

275160077015100 is a wasteful number, since it uses less digits than its factorization.

275160077015100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436620 (or 5436613 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 42.

The spelling of 275160077015100 in words is "two hundred seventy-five trillion, one hundred sixty billion, seventy-seven million, fifteen thousand, one hundred".