10127033376 has 96 divisors (see below), whose sum is σ = 27477305856. Its totient is φ = 3265862400.

The previous prime is 10127033359. The next prime is 10127033419. The reversal of 10127033376 is 67333072101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2858166 + ... + 2861706.

It is an arithmetic number, because the mean of its divisors is an integer number (286221936).

Almost surely, 2^10127033376 is an apocalyptic number.

10127033376 is a gapful number since it is divisible by the number (16) 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 10127033376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738652928).

10127033376 is an abundant number, since it is smaller than the sum of its proper divisors (17350272480).

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

10127033376 is an frugal number, since it uses more digits than its factorization.

10127033376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The spelling of 10127033376 in words is "ten billion, one hundred twenty-seven million, thirty-three thousand, three hundred seventy-six".