61971658560 has 1344 divisors, whose sum is σ = 281184583680. Its totient is φ = 12182814720.

The previous prime is 61971658537. The next prime is 61971658561. The reversal of 61971658560 is 6585617916.

61971658560 is a `hidden beast` number, since 6 + 1 + 9 + 71 + 6 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 61971658497 and 61971658506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61971658561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201861927 + ... + 201862233.

It is an arithmetic number, because the mean of its divisors is an integer number (209214720).

Almost surely, 2^61971658560 is an apocalyptic number.

61971658560 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 61971658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140592291840).

61971658560 is an abundant number, since it is smaller than the sum of its proper divisors (219212925120).

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

61971658560 is a wasteful number, since it uses less digits than its factorization.

61971658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 61971658560 in words is "sixty-one billion, nine hundred seventy-one million, six hundred fifty-eight thousand, five hundred sixty".