10804531638258 has 32 divisors (see below), whose sum is σ = 24014201414400. Its totient is φ = 3600890880048.

The previous prime is 10804531638253. The next prime is 10804531638283. The reversal of 10804531638258 is 85283613540801.

10804531638258 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 45 + 316 + 38 + 258 = 666.

10804531638258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10804531638253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16896138 + ... + 17523941.

It is an arithmetic number, because the mean of its divisors is an integer number (750443794200).

Almost surely, 2^{10804531638258} is an apocalyptic number.

10804531638258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10804531638258 is an abundant number, since it is smaller than the sum of its proper divisors (13209669776142).

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

10804531638258 is a wasteful number, since it uses less digits than its factorization.

10804531638258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34425903 (or 34425897 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10804531638258 in words is "ten trillion, eight hundred four billion, five hundred thirty-one million, six hundred thirty-eight thousand, two hundred fifty-eight".