5576810342400 has 3024 divisors, whose sum is σ = 24535596496320. Its totient is φ = 1245354393600.

The previous prime is 5576810342359. The next prime is 5576810342473. The reversal of 5576810342400 is 42430186755.

5576810342400 is a `hidden beast` number, since 5 + 576 + 8 + 1 + 0 + 34 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×5576810342400² (a number of 26 digits) contains 22 as substring.

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 251 ways as a sum of consecutive naturals, for example, 118655539177 + ... + 118655539223.

It is an arithmetic number, because the mean of its divisors is an integer number (8113623180).

Almost surely, 2^{5576810342400} is an apocalyptic number.

5576810342400 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 5576810342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267798248160).

5576810342400 is an abundant number, since it is smaller than the sum of its proper divisors (18958786153920).

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

5576810342400 is a wasteful number, since it uses less digits than its factorization.

5576810342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5576810342400 in words is "five trillion, five hundred seventy-six billion, eight hundred ten million, three hundred forty-two thousand, four hundred".