10512452160 has 1008 divisors, whose sum is σ = 45532730880. Its totient is φ = 2299207680.

The previous prime is 10512452149. The next prime is 10512452177. The reversal of 10512452160 is 6125421501.

10512452160 is a `hidden beast` number, since 1 + 0 + 51 + 2 + 452 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10512452160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118117396 + ... + 118117484.

It is an arithmetic number, because the mean of its divisors is an integer number (45171360).

Almost surely, 2^10512452160 is an apocalyptic number.

10512452160 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 10512452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766365440).

10512452160 is an abundant number, since it is smaller than the sum of its proper divisors (35020278720).

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

10512452160 is an equidigital number, since it uses as much as digits as its factorization.

10512452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10512452160 its reverse (6125421501), we get a palindrome (16637873661).

The spelling of 10512452160 in words is "ten billion, five hundred twelve million, four hundred fifty-two thousand, one hundred sixty".