15716616400 has 60 divisors (see below), whose sum is σ = 37843699500. Its totient is φ = 6272573440.

The previous prime is 15716616379. The next prime is 15716616491. The reversal of 15716616400 is 461661751.

It can be written as a sum of positive squares in 6 ways, for example, as 833592384 + 14883024016 = 28872^2 + 121996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15716616400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135846 + ... + 223354.

It is an arithmetic number, because the mean of its divisors is an integer number (630728325).

Almost surely, 2^15716616400 is an apocalyptic number.

15716616400 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 15716616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18921849750).

15716616400 is an abundant number, since it is smaller than the sum of its proper divisors (22127083100).

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

15716616400 is a wasteful number, since it uses less digits than its factorization.

15716616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87976 (or 87965 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 15716616400 in words is "fifteen billion, seven hundred sixteen million, six hundred sixteen thousand, four hundred".