11632728205275 has 24 divisors (see below), whose sum is σ = 19232901140544. Its totient is φ = 6204081760800.

The previous prime is 11632728205261. The next prime is 11632728205313. The reversal of 11632728205275 is 57250282723611.

It is not a de Polignac number, because 11632728205275 - 2¹¹ = 11632728203227 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14022840 + ... + 14829210.

It is an arithmetic number, because the mean of its divisors is an integer number (801370880856).

Almost surely, 2^{11632728205275} is an apocalyptic number.

11632728205275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11632728205275 is a deficient number, since it is larger than the sum of its proper divisors (7600172935269).

11632728205275 is a wasteful number, since it uses less digits than its factorization.

11632728205275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998731 (or 998726 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 11632728205275 in words is "eleven trillion, six hundred thirty-two billion, seven hundred twenty-eight million, two hundred five thousand, two hundred seventy-five".