10427026821120 has 3328 divisors, whose sum is σ = 48050791219200. Its totient is φ = 2086844497920.

The previous prime is 10427026821097. The next prime is 10427026821121. The reversal of 10427026821120 is 2112862072401.

10427026821120 is a `hidden beast` number, since 1 + 0 + 4 + 270 + 268 + 2 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427026821121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 131987681241 + ... + 131987681319.

Almost surely, 2^{10427026821120} is an apocalyptic number.

10427026821120 is a gapful number since it is divisible by the number (10) 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 10427026821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24025395609600).

10427026821120 is an abundant number, since it is smaller than the sum of its proper divisors (37623764398080).

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

10427026821120 is a wasteful number, since it uses less digits than its factorization.

10427026821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 10427026821120 its reverse (2112862072401), we get a palindrome (12539888893521).

The spelling of 10427026821120 in words is "ten trillion, four hundred twenty-seven billion, twenty-six million, eight hundred twenty-one thousand, one hundred twenty".