10288354656 has 24 divisors (see below), whose sum is σ = 27006931224. Its totient is φ = 3429451520.

The previous prime is 10288354591. The next prime is 10288354691. The reversal of 10288354656 is 65645388201.

It is a happy number.

10288354656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 3 ways as a sum of consecutive naturals, for example, 53585085 + ... + 53585276.

It is an arithmetic number, because the mean of its divisors is an integer number (1125288801).

Almost surely, 2^10288354656 is an apocalyptic number.

10288354656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10288354656 is an abundant number, since it is smaller than the sum of its proper divisors (16718576568).

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

10288354656 is a wasteful number, since it uses less digits than its factorization.

10288354656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107170374 (or 107170366 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 10288354656 in words is "ten billion, two hundred eighty-eight million, three hundred fifty-four thousand, six hundred fifty-six".