10546864128 has 168 divisors, whose sum is σ = 32074637400. Its totient is φ = 3330146304.

The previous prime is 10546864123. The next prime is 10546864151. The reversal of 10546864128 is 82146864501.

It is a happy number.

10546864128 is a `hidden beast` number, since 1 + 0 + 5 + 468 + 64 + 128 = 666.

It is a super-2 number, since 2×10546864128² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10546864123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1397068 + ... + 1404596.

Almost surely, 2^10546864128 is an apocalyptic number.

10546864128 is a gapful number since it is divisible by the number (18) 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 10546864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16037318700).

10546864128 is an abundant number, since it is smaller than the sum of its proper divisors (21527773272).

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

10546864128 is an equidigital number, since it uses as much as digits as its factorization.

10546864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7580 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10546864128 in words is "ten billion, five hundred forty-six million, eight hundred sixty-four thousand, one hundred twenty-eight".