10227875840 has 340 divisors, whose sum is σ = 30838909164. Its totient is φ = 3236954112.

The previous prime is 10227875831. The next prime is 10227875851. The reversal of 10227875840 is 4857872201.

It can be written as a sum of positive squares in 2 ways, for example, as 2517630976 + 7710244864 = 50176^2 + 87808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10227875791 and 10227875800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 786759674 + ... + 786759686.

Almost surely, 2^10227875840 is an apocalyptic number.

10227875840 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 10227875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15419454582).

10227875840 is an abundant number, since it is smaller than the sum of its proper divisors (20611033324).

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

10227875840 is an frugal number, since it uses more digits than its factorization.

10227875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The spelling of 10227875840 in words is "ten billion, two hundred twenty-seven million, eight hundred seventy-five thousand, eight hundred forty".