10290964336 has 160 divisors (see below), whose sum is σ = 22118012928. Its totient is φ = 4624435200.

The previous prime is 10290964301. The next prime is 10290964421. The reversal of 10290964336 is 63346909201.

10290964336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 10290964292 and 10290964301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 75116460 + ... + 75116596.

Almost surely, 2^10290964336 is an apocalyptic number.

10290964336 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 10290964336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059006464).

10290964336 is an abundant number, since it is smaller than the sum of its proper divisors (11827048592).

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

10290964336 is a wasteful number, since it uses less digits than its factorization.

10290964336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 10290964336 in words is "ten billion, two hundred ninety million, nine hundred sixty-four thousand, three hundred thirty-six".