5776305420600 has 2688 divisors, whose sum is σ = 25697517753600. Its totient is φ = 1185137049600.

The previous prime is 5776305420577. The next prime is 5776305420601. The reversal of 5776305420600 is 60245036775.

5776305420600 is a `hidden beast` number, since 5 + 7 + 7 + 6 + 30 + 5 + 4 + 2 + 0 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5776305420601) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 15240911211 + ... + 15240911589.

It is an arithmetic number, because the mean of its divisors is an integer number (9560088450).

Almost surely, 2^{5776305420600} is an apocalyptic number.

5776305420600 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 5776305420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848758876800).

5776305420600 is an abundant number, since it is smaller than the sum of its proper divisors (19921212333000).

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

5776305420600 is a wasteful number, since it uses less digits than its factorization.

5776305420600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 5776305420600 in words is "five trillion, seven hundred seventy-six billion, three hundred five million, four hundred twenty thousand, six hundred".