10804165391250 has 960 divisors, whose sum is σ = 40078120896000. Its totient is φ = 2126794320000.

The previous prime is 10804165391233. The next prime is 10804165391251. The reversal of 10804165391250 is 5219356140801.

It is a happy number.

10804165391250 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 4 + 1 + 6 + 5 + 391 + 250 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10804165391196 and 10804165391205.

It is not an unprimeable number, because it can be changed into a prime (10804165391251) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 345618121 + ... + 345649379.

It is an arithmetic number, because the mean of its divisors is an integer number (41748042600).

Almost surely, 2^{10804165391250} is an apocalyptic number.

10804165391250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10804165391250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20039060448000).

10804165391250 is an abundant number, since it is smaller than the sum of its proper divisors (29273955504750).

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

10804165391250 is a wasteful number, since it uses less digits than its factorization.

10804165391250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31334 (or 31306 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10804165391250 in words is "ten trillion, eight hundred four billion, one hundred sixty-five million, three hundred ninety-one thousand, two hundred fifty".