10427229792 has 720 divisors, whose sum is σ = 39105990000. Its totient is φ = 2706794496.

The previous prime is 10427229779. The next prime is 10427229809. The reversal of 10427229792 is 29792272401.

It is a happy number.

10427229792 is a `hidden beast` number, since 1 + 0 + 4 + 272 + 297 + 92 = 666.

It is a super-2 number, since 2×10427229792² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69981334 + ... + 69981482.

It is an arithmetic number, because the mean of its divisors is an integer number (54313875).

Almost surely, 2^10427229792 is an apocalyptic number.

10427229792 is a gapful number since it is divisible by the number (12) 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 10427229792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552995000).

10427229792 is an abundant number, since it is smaller than the sum of its proper divisors (28678760208).

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

10427229792 is a wasteful number, since it uses less digits than its factorization.

10427229792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10427229792 in words is "ten billion, four hundred twenty-seven million, two hundred twenty-nine thousand, seven hundred ninety-two".