10316721600 has 336 divisors, whose sum is σ = 37916144640. Its totient is φ = 2728627200.

The previous prime is 10316721589. The next prime is 10316721619. The reversal of 10316721600 is 612761301.

10316721600 is a `hidden beast` number, since 1 + 0 + 31 + 6 + 7 + 21 + 600 = 666.

10316721600 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 (27).

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 47 ways as a sum of consecutive naturals, for example, 5658289 + ... + 5660111.

Almost surely, 2^10316721600 is an apocalyptic number.

10316721600 is a gapful number since it is divisible by the number (10) 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 10316721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18958072320).

10316721600 is an abundant number, since it is smaller than the sum of its proper divisors (27599423040).

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

10316721600 is a wasteful number, since it uses less digits than its factorization.

10316721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10316721600 in words is "ten billion, three hundred sixteen million, seven hundred twenty-one thousand, six hundred".