6116081400 has 288 divisors, whose sum is σ = 24131736720. Its totient is φ = 1368576000.

The previous prime is 6116081351. The next prime is 6116081429. The reversal of 6116081400 is 41806116.

6116081400 is a `hidden beast` number, since 6 + 11 + 608 + 1 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 245520 + ... + 269280.

Almost surely, 2^6116081400 is an apocalyptic number.

6116081400 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 6116081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065868360).

6116081400 is an abundant number, since it is smaller than the sum of its proper divisors (18015655320).

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

6116081400 is a wasteful number, since it uses less digits than its factorization.

6116081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23807 (or 23795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6116081400 is about 78205.3796103567. The cubic root of 6116081400 is about 1828.7643723699.

Adding to 6116081400 its reverse (41806116), we get a palindrome (6157887516).

The spelling of 6116081400 in words is "six billion, one hundred sixteen million, eighty-one thousand, four hundred".