5770280678400 has 3168 divisors, whose sum is σ = 26858576298240. Its totient is φ = 1184838451200.

The previous prime is 5770280678389. The next prime is 5770280678441. The reversal of 5770280678400 is 48760820775.

It is a happy number.

5770280678400 is a `hidden beast` number, since 577 + 0 + 2 + 8 + 0 + 67 + 8 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×5770280678400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79044940764 + ... + 79044940836.

Almost surely, 2^{5770280678400} is an apocalyptic number.

5770280678400 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 5770280678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429288149120).

5770280678400 is an abundant number, since it is smaller than the sum of its proper divisors (21088295619840).

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

5770280678400 is a wasteful number, since it uses less digits than its factorization.

5770280678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 5770280678400 in words is "five trillion, seven hundred seventy billion, two hundred eighty million, six hundred seventy-eight thousand, four hundred".