5704550096400 has 315 divisors, whose sum is σ = 20553019272669. Its totient is φ = 1520869426560.

The previous prime is 5704550096393. The next prime is 5704550096417. The reversal of 5704550096400 is 46900554075.

The square root of 5704550096400 is 2388420.

It is a perfect power (a square), and thus also a powerful number.

5704550096400 is a `hidden beast` number, since 5 + 7 + 0 + 4 + 550 + 0 + 96 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2053638034704 + 3650912061696 = 1433052^2 + 1910736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1289744589 + ... + 1289749011.

Almost surely, 2^{5704550096400} is an apocalyptic number.

5704550096400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5704550096400 is the 2388420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5704550096400

5704550096400 is an abundant number, since it is smaller than the sum of its proper divisors (14848469176269).

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

5704550096400 is an frugal number, since it uses more digits than its factorization.

5704550096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8882 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5704550096400 in words is "five trillion, seven hundred four billion, five hundred fifty million, ninety-six thousand, four hundred".