10427793984 has 112 divisors (see below), whose sum is σ = 30794391040. Its totient is φ = 3460216320.

The previous prime is 10427793983. The next prime is 10427794009. The reversal of 10427793984 is 48939772401.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10427793984.

It is not an unprimeable number, because it can be changed into a prime (10427793983) 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 15 ways as a sum of consecutive naturals, for example, 371814 + ... + 398874.

It is an arithmetic number, because the mean of its divisors is an integer number (274949920).

Almost surely, 2^10427793984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397195520).

10427793984 is an abundant number, since it is smaller than the sum of its proper divisors (20366597056).

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

10427793984 is a wasteful number, since it uses less digits than its factorization.

10427793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27305 (or 27289 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10427793984 in words is "ten billion, four hundred twenty-seven million, seven hundred ninety-three thousand, nine hundred eighty-four".