10011893376 has 256 divisors, whose sum is σ = 28764979200. Its totient is φ = 3077775360.

The previous prime is 10011893371. The next prime is 10011893389. The reversal of 10011893376 is 67339811001.

It is not an unprimeable number, because it can be changed into a prime (10011893371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36944121 + ... + 36944391.

It is an arithmetic number, because the mean of its divisors is an integer number (112363200).

Almost surely, 2^10011893376 is an apocalyptic number.

10011893376 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 10011893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382489600).

10011893376 is an abundant number, since it is smaller than the sum of its proper divisors (18753085824).

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

10011893376 is a wasteful number, since it uses less digits than its factorization.

10011893376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 10011893376 in words is "ten billion, eleven million, eight hundred ninety-three thousand, three hundred seventy-six".