10273846896 has 400 divisors, whose sum is σ = 33167242240. Its totient is φ = 3056901120.

The previous prime is 10273846883. The next prime is 10273846903. The reversal of 10273846896 is 69864837201.

10273846896 is a `hidden beast` number, since 102 + 73 + 8 + 468 + 9 + 6 = 666.

10273846896 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 (54).

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 79 ways as a sum of consecutive naturals, for example, 32823636 + ... + 32823948.

Almost surely, 2^10273846896 is an apocalyptic number.

10273846896 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 10273846896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16583621120).

10273846896 is an abundant number, since it is smaller than the sum of its proper divisors (22893395344).

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

10273846896 is a wasteful number, since it uses less digits than its factorization.

10273846896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10273846896 in words is "ten billion, two hundred seventy-three million, eight hundred forty-six thousand, eight hundred ninety-six".