5777396150400 has 1728 divisors, whose sum is σ = 25765076376000. Its totient is φ = 1250440519680.

The previous prime is 5777396150327. The next prime is 5777396150423. The reversal of 5777396150400 is 40516937775.

5777396150400 is a `hidden beast` number, since 5 + 7 + 7 + 73 + 9 + 61 + 504 + 0 + 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2792360566 + ... + 2792362634.

It is an arithmetic number, because the mean of its divisors is an integer number (14910345125).

Almost surely, 2^{5777396150400} is an apocalyptic number.

5777396150400 is a gapful number since it is divisible by the number (50) 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 5777396150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882538188000).

5777396150400 is an abundant number, since it is smaller than the sum of its proper divisors (19987680225600).

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

5777396150400 is an equidigital number, since it uses as much as digits as its factorization.

5777396150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 5777396150400 in words is "five trillion, seven hundred seventy-seven billion, three hundred ninety-six million, one hundred fifty thousand, four hundred".