10128485952 has 168 divisors, whose sum is σ = 32910637760. Its totient is φ = 2952391680.

The previous prime is 10128485951. The next prime is 10128485953. The reversal of 10128485952 is 25958482101.

10128485952 is a `hidden beast` number, since 1 + 0 + 12 + 8 + 48 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10128485951) and next prime (10128485953).

It is a super-2 number, since 2×10128485952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10128485898 and 10128485907.

It is not an unprimeable number, because it can be changed into a prime (10128485951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106677 + ... + 177867.

Almost surely, 2^10128485952 is an apocalyptic number.

10128485952 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 10128485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16455318880).

10128485952 is an abundant number, since it is smaller than the sum of its proper divisors (22782151808).

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

10128485952 is a wasteful number, since it uses less digits than its factorization.

10128485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71241 (or 71228 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10128485952 in words is "ten billion, one hundred twenty-eight million, four hundred eighty-five thousand, nine hundred fifty-two".