61797116160 has 1728 divisors, whose sum is σ = 269988526080. Its totient is φ = 13377208320.

The previous prime is 61797116153. The next prime is 61797116209. The reversal of 61797116160 is 6161179716.

It is a happy number.

61797116160 is a `hidden beast` number, since 6 + 17 + 9 + 7 + 11 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5916 × 1860 × 5616.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1993455345 + ... + 1993455375.

It is an arithmetic number, because the mean of its divisors is an integer number (156243360).

Almost surely, 2^61797116160 is an apocalyptic number.

61797116160 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 61797116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134994263040).

61797116160 is an abundant number, since it is smaller than the sum of its proper divisors (208191409920).

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

61797116160 is a wasteful number, since it uses less digits than its factorization.

61797116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 61797116160 in words is "sixty-one billion, seven hundred ninety-seven million, one hundred sixteen thousand, one hundred sixty".