7161055204680 has 384 divisors, whose sum is σ = 26103579696000. Its totient is φ = 1745264102400.

The previous prime is 7161055204643. The next prime is 7161055204727. The reversal of 7161055204680 is 864025501617.

7161055204680 is a `hidden beast` number, since 7 + 1 + 6 + 1 + 0 + 5 + 520 + 46 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18240291 + ... + 18628749.

It is an arithmetic number, because the mean of its divisors is an integer number (67978072125).

Almost surely, 2^{7161055204680} 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 7161055204680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051789848000).

7161055204680 is an abundant number, since it is smaller than the sum of its proper divisors (18942524491320).

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

7161055204680 is a wasteful number, since it uses less digits than its factorization.

7161055204680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388606 (or 388583 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 7161055204680 in words is "seven trillion, one hundred sixty-one billion, fifty-five million, two hundred four thousand, six hundred eighty".