10127468052 has 36 divisors (see below), whose sum is σ = 27569219860. Its totient is φ = 3116143872.

The previous prime is 10127468041. The next prime is 10127468081. The reversal of 10127468052 is 25086472101.

It can be written as a sum of positive squares in 2 ways, for example, as 3604321296 + 6523146756 = 60036^2 + 80766^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10127467998 and 10127468016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10819477 + ... + 10820412.

Almost surely, 2^10127468052 is an apocalyptic number.

10127468052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10127468052 is an abundant number, since it is smaller than the sum of its proper divisors (17441751808).

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

10127468052 is a wasteful number, since it uses less digits than its factorization.

10127468052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639912 (or 21639907 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10127468052 in words is "ten billion, one hundred twenty-seven million, four hundred sixty-eight thousand, fifty-two".