10172252160 has 720 divisors, whose sum is σ = 42365371776. Its totient is φ = 2293235712.

The previous prime is 10172252137. The next prime is 10172252171. The reversal of 10172252160 is 6125227101.

10172252160 is a `hidden beast` number, since 10 + 1 + 72 + 2 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139345884 + ... + 139345956.

Almost surely, 2^10172252160 is an apocalyptic number.

10172252160 is a gapful number since it is divisible by the number (10) 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 10172252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182685888).

10172252160 is an abundant number, since it is smaller than the sum of its proper divisors (32193119616).

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

10172252160 is an frugal number, since it uses more digits than its factorization.

10172252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10172252160 its reverse (6125227101), we get a palindrome (16297479261).

The spelling of 10172252160 in words is "ten billion, one hundred seventy-two million, two hundred fifty-two thousand, one hundred sixty".