5777648520400 has 60 divisors (see below), whose sum is σ = 13881074408172. Its totient is φ = 2311013816320.

The previous prime is 5777648520361. The next prime is 5777648520443. The reversal of 5777648520400 is 40258467775.

It can be written as a sum of positive squares in 6 ways, for example, as 86904681616 + 5690743838784 = 294796^2 + 2385528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26273304 + ... + 26492296.

Almost surely, 2^{5777648520400} is an apocalyptic number.

5777648520400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5777648520400 is an abundant number, since it is smaller than the sum of its proper divisors (8103425887772).

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

5777648520400 is a wasteful number, since it uses less digits than its factorization.

5777648520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284968 (or 284957 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 55.

The spelling of 5777648520400 in words is "five trillion, seven hundred seventy-seven billion, six hundred forty-eight million, five hundred twenty thousand, four hundred".