61716000000 has 504 divisors, whose sum is σ = 212381656480. Its totient is φ = 15897600000.

The previous prime is 61715999993. The next prime is 61716000061. The reversal of 61716000000 is 61716.

61716000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 443999931 + ... + 444000069.

Almost surely, 2^61716000000 is an apocalyptic number.

61716000000 is a gapful number since it is divisible by the number (60) 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 61716000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106190828240).

61716000000 is an abundant number, since it is smaller than the sum of its proper divisors (150665656480).

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

61716000000 is an frugal number, since it uses more digits than its factorization.

61716000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 61716000000 its reverse (61716), we get a palindrome (61716061716).

61716000000 divided by its reverse (61716) gives a 6-th power (1000000 = 10⁶).

The spelling of 61716000000 in words is "sixty-one billion, seven hundred sixteen million", and thus it is an aban number.