6161200080 has 320 divisors, whose sum is σ = 22584268800. Its totient is φ = 1360373760.

The previous prime is 6161200033. The next prime is 6161200103. The reversal of 6161200080 is 800021616.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6161200080.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6045811 + ... + 6046829.

It is an arithmetic number, because the mean of its divisors is an integer number (70575840).

Almost surely, 2^6161200080 is an apocalyptic number.

6161200080 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 6161200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292134400).

6161200080 is an abundant number, since it is smaller than the sum of its proper divisors (16423068720).

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

6161200080 is a wasteful number, since it uses less digits than its factorization.

6161200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 6161200080 is about 78493.3123265925. The cubic root of 6161200080 is about 1833.2503255714.

Adding to 6161200080 its reverse (800021616), we get a palindrome (6961221696).

The spelling of 6161200080 in words is "six billion, one hundred sixty-one million, two hundred thousand, eighty".