5340120270210 has 256 divisors, whose sum is σ = 16423969536000. Its totient is φ = 1221080520960.

The previous prime is 5340120270197. The next prime is 5340120270241. The reversal of 5340120270210 is 120720210435.

5340120270210 is a `hidden beast` number, since 5 + 3 + 401 + 20 + 27 + 0 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 12715849 + ... + 13129091.

It is an arithmetic number, because the mean of its divisors is an integer number (64156131000).

Almost surely, 2^{5340120270210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340120270210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211984768000).

5340120270210 is an abundant number, since it is smaller than the sum of its proper divisors (11083849265790).

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

5340120270210 is a wasteful number, since it uses less digits than its factorization.

5340120270210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413518 (or 413512 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 5340120270210 its reverse (120720210435), we get a palindrome (5460840480645).

The spelling of 5340120270210 in words is "five trillion, three hundred forty billion, one hundred twenty million, two hundred seventy thousand, two hundred ten".