6161126400 has 1188 divisors, whose sum is σ = 27648722556. Its totient is φ = 1297612800.

The previous prime is 6161126393. The next prime is 6161126401. The reversal of 6161126400 is 46211616.

6161126400 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 12 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 218566656 + 5942559744 = 14784^2 + 77088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6161126401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 362419192 + ... + 362419208.

Almost surely, 2^6161126400 is an apocalyptic number.

6161126400 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 6161126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824361278).

6161126400 is an abundant number, since it is smaller than the sum of its proper divisors (21487596156).

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

6161126400 is a wasteful number, since it uses less digits than its factorization.

6161126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6161126400 is about 78492.8429858417. The cubic root of 6161126400 is about 1833.2430177731.

The spelling of 6161126400 in words is "six billion, one hundred sixty-one million, one hundred twenty-six thousand, four hundred".