10281785514 has 192 divisors, whose sum is σ = 29286727680. Its totient is φ = 2335132800.

The previous prime is 10281785491. The next prime is 10281785573. The reversal of 10281785514 is 41558718201.

10281785514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10281785514² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1251159 + ... + 1259349.

It is an arithmetic number, because the mean of its divisors is an integer number (152535040).

Almost surely, 2^10281785514 is an apocalyptic number.

10281785514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10281785514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14643363840).

10281785514 is an abundant number, since it is smaller than the sum of its proper divisors (19004942166).

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

10281785514 is a wasteful number, since it uses less digits than its factorization.

10281785514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 42.

The spelling of 10281785514 in words is "ten billion, two hundred eighty-one million, seven hundred eighty-five thousand, five hundred fourteen".