10873076006250 has 672 divisors, whose sum is σ = 32556849197040. Its totient is φ = 2712579840000.

The previous prime is 10873076006249. The next prime is 10873076006257. The reversal of 10873076006250 is 5260067037801.

10873076006250 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 30 + 7 + 600 + 6 + 2 + 5 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 8604289956249 + 2268786050001 = 2933307^2 + 1506249^2 .

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 = 10873076006196 and 10873076006205.

It is not an unprimeable number, because it can be changed into a prime (10873076006257) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 17737480944 + ... + 17737481556.

Almost surely, 2^{10873076006250} is an apocalyptic number.

10873076006250 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 10873076006250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278424598520).

10873076006250 is an abundant number, since it is smaller than the sum of its proper divisors (21683773190790).

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

10873076006250 is an frugal number, since it uses more digits than its factorization.

10873076006250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10873076006250 in words is "ten trillion, eight hundred seventy-three billion, seventy-six million, six thousand, two hundred fifty".