61711191360 has 2016 divisors, whose sum is σ = 302353309440. Its totient is φ = 11609505792.

The previous prime is 61711191349. The next prime is 61711191389. The reversal of 61711191360 is 6319111716.

61711191360 is a `hidden beast` number, since 617 + 1 + 1 + 1 + 9 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×61711191360² (a number of 22 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 3247957431 + ... + 3247957449.

It is an arithmetic number, because the mean of its divisors is an integer number (149976840).

Almost surely, 2^61711191360 is an apocalyptic number.

61711191360 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 61711191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151176654720).

61711191360 is an abundant number, since it is smaller than the sum of its proper divisors (240642118080).

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

61711191360 is a wasteful number, since it uses less digits than its factorization.

61711191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 61711191360 in words is "sixty-one billion, seven hundred eleven million, one hundred ninety-one thousand, three hundred sixty".