10125209719872 has 168 divisors, whose sum is σ = 31292549031744. Its totient is φ = 3111661771776.

The previous prime is 10125209719853. The next prime is 10125209719897. The reversal of 10125209719872 is 27891790252101.

10125209719872 is a `hidden beast` number, since 1 + 0 + 12 + 520 + 97 + 19 + 8 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5341123 + ... + 6984125.

It is an arithmetic number, because the mean of its divisors is an integer number (186265172808).

Almost surely, 2^{10125209719872} is an apocalyptic number.

10125209719872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125209719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646274515872).

10125209719872 is an abundant number, since it is smaller than the sum of its proper divisors (21167339311872).

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

10125209719872 is a wasteful number, since it uses less digits than its factorization.

10125209719872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643857 (or 1643844 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 10125209719872 in words is "ten trillion, one hundred twenty-five billion, two hundred nine million, seven hundred nineteen thousand, eight hundred seventy-two".