10510412256 has 240 divisors, whose sum is σ = 31865481648. Its totient is φ = 3396556800.

The previous prime is 10510412221. The next prime is 10510412287. The reversal of 10510412256 is 65221401501.

It is a super-2 number, since 2×10510412256² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20173276 + ... + 20173796.

Almost surely, 2^10510412256 is an apocalyptic number.

10510412256 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 10510412256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15932740824).

10510412256 is an abundant number, since it is smaller than the sum of its proper divisors (21355069392).

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

10510412256 is a wasteful number, since it uses less digits than its factorization.

10510412256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10510412256 its reverse (65221401501), we get a palindrome (75731813757).

The spelling of 10510412256 in words is "ten billion, five hundred ten million, four hundred twelve thousand, two hundred fifty-six".