10072251712875 has 256 divisors, whose sum is σ = 19634039193600. Its totient is φ = 4531228416000.

The previous prime is 10072251712867. The next prime is 10072251712877. The reversal of 10072251712875 is 57821715227001.

It is not a de Polignac number, because 10072251712875 - 2³ = 10072251712867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10072251712877) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6221278816 + ... + 6221280434.

It is an arithmetic number, because the mean of its divisors is an integer number (76695465600).

Almost surely, 2^{10072251712875} is an apocalyptic number.

10072251712875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10072251712875 is a deficient number, since it is larger than the sum of its proper divisors (9561787480725).

10072251712875 is a wasteful number, since it uses less digits than its factorization.

10072251712875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 48.

Adding to 10072251712875 its reverse (57821715227001), we get a palindrome (67893966939876).

The spelling of 10072251712875 in words is "ten trillion, seventy-two billion, two hundred fifty-one million, seven hundred twelve thousand, eight hundred seventy-five".