10368400896 has 320 divisors, whose sum is σ = 35433446400. Its totient is φ = 2932236288.

The previous prime is 10368400879. The next prime is 10368400927. The reversal of 10368400896 is 69800486301.

10368400896 is a `hidden beast` number, since 103 + 68 + 400 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10547221 + ... + 10548203.

It is an arithmetic number, because the mean of its divisors is an integer number (110729520).

Almost surely, 2^10368400896 is an apocalyptic number.

10368400896 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 10368400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716723200).

10368400896 is an abundant number, since it is smaller than the sum of its proper divisors (25065045504).

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

10368400896 is an equidigital number, since it uses as much as digits as its factorization.

10368400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10368400896 in words is "ten billion, three hundred sixty-eight million, four hundred thousand, eight hundred ninety-six".