61217505216 has 448 divisors, whose sum is σ = 216217154560. Its totient is φ = 16617000960.

The previous prime is 61217505187. The next prime is 61217505269. The reversal of 61217505216 is 61250571216.

61217505216 is a `hidden beast` number, since 6 + 121 + 7 + 5 + 0 + 521 + 6 = 666.

61217505216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19243146 + ... + 19246326.

Almost surely, 2^61217505216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61217505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108577280).

61217505216 is an abundant number, since it is smaller than the sum of its proper divisors (154999649344).

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

61217505216 is a wasteful number, since it uses less digits than its factorization.

61217505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 61217505216 in words is "sixty-one billion, two hundred seventeen million, five hundred five thousand, two hundred sixteen".