5783096264400 has 5760 divisors, whose sum is σ = 29787853455360. Its totient is φ = 1003290624000.

The previous prime is 5783096264293. The next prime is 5783096264401. The reversal of 5783096264400 is 44626903875.

5783096264400 is a `hidden beast` number, since 5 + 7 + 8 + 3 + 0 + 9 + 626 + 4 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5783096264401) by changing a digit.

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 1151 ways as a sum of consecutive naturals, for example, 134490610779 + ... + 134490610821.

It is an arithmetic number, because the mean of its divisors is an integer number (5171502336).

Almost surely, 2^{5783096264400} is an apocalyptic number.

5783096264400 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 5783096264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893926727680).

5783096264400 is an abundant number, since it is smaller than the sum of its proper divisors (24004757190960).

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

5783096264400 is a wasteful number, since it uses less digits than its factorization.

5783096264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5783096264400 in words is "five trillion, seven hundred eighty-three billion, ninety-six million, two hundred sixty-four thousand, four hundred".