10172056621752 has 96 divisors (see below), whose sum is σ = 27862082801280. Its totient is φ = 3352317687360.

The previous prime is 10172056621723. The next prime is 10172056621789. The reversal of 10172056621752 is 25712665027101.

10172056621752 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 20 + 566 + 2 + 17 + 52 = 666.

It is a super-2 number, since 2×10172056621752² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10172056621698 and 10172056621707.

It is a congruent number.

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, 2562627 + ... + 5187597.

It is an arithmetic number, because the mean of its divisors is an integer number (290230029180).

Almost surely, 2^{10172056621752} is an apocalyptic number.

10172056621752 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 10172056621752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931041400640).

10172056621752 is an abundant number, since it is smaller than the sum of its proper divisors (17690026179528).

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

10172056621752 is a wasteful number, since it uses less digits than its factorization.

10172056621752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625593 (or 2625586 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10172056621752 in words is "ten trillion, one hundred seventy-two billion, fifty-six million, six hundred twenty-one thousand, seven hundred fifty-two".