10478402065296 has 405 divisors, whose sum is σ = 32652641956753. Its totient is φ = 3134486699520.

The previous prime is 10478402065291. The next prime is 10478402065337. The reversal of 10478402065296 is 69256020487401.

The square root of 10478402065296 is 3237036.

It is a perfect power (a square), and thus also a powerful number.

10478402065296 is a `hidden beast` number, since 1 + 0 + 4 + 78 + 40 + 2 + 0 + 6 + 529 + 6 = 666.

10478402065296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6155063283600 + 4323338781696 = 2480940^2 + 2079264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10478402065291) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58538558935 + ... + 58538559113.

Almost surely, 2^{10478402065296} is an apocalyptic number.

10478402065296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10478402065296 is the 3237036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10478402065296

10478402065296 is an abundant number, since it is smaller than the sum of its proper divisors (22174239891457).

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

10478402065296 is a wasteful number, since it uses less digits than its factorization.

10478402065296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10478402065296 in words is "ten trillion, four hundred seventy-eight billion, four hundred two million, sixty-five thousand, two hundred ninety-six".