5700666535200 has 5760 divisors, whose sum is σ = 29613459617280. Its totient is φ = 1031956070400.

The previous prime is 5700666535171. The next prime is 5700666535237. The reversal of 5700666535200 is 25356660075.

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 959 ways as a sum of consecutive naturals, for example, 78091322364 + ... + 78091322436.

It is an arithmetic number, because the mean of its divisors is an integer number (5141225628).

Almost surely, 2^{5700666535200} is an apocalyptic number.

5700666535200 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 5700666535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806729808640).

5700666535200 is an abundant number, since it is smaller than the sum of its proper divisors (23912793082080).

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

5700666535200 is a wasteful number, since it uses less digits than its factorization.

5700666535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 5700666535200 in words is "five trillion, seven hundred billion, six hundred sixty-six million, five hundred thirty-five thousand, two hundred".