10135286784 has 176 divisors, whose sum is σ = 34304444800. Its totient is φ = 2895740928.

The previous prime is 10135286783. The next prime is 10135286807. The reversal of 10135286784 is 48768253101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135286783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167352 + ... + 219720.

Almost surely, 2^10135286784 is an apocalyptic number.

10135286784 is a gapful number since it is divisible by the number (14) 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 10135286784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17152222400).

10135286784 is an abundant number, since it is smaller than the sum of its proper divisors (24169158016).

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

10135286784 is an equidigital number, since it uses as much as digits as its factorization.

10135286784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52405 (or 52381 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10135286784 in words is "ten billion, one hundred thirty-five million, two hundred eighty-six thousand, seven hundred eighty-four".