5205142335400 has 72 divisors (see below), whose sum is σ = 14077785495870. Its totient is φ = 1784620225920.

The previous prime is 5205142335347. The next prime is 5205142335413. The reversal of 5205142335400 is 45332415025.

It can be written as a sum of positive squares in 3 ways, for example, as 4953393286884 + 251749048516 = 2225622^2 + 501746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 265558687 + ... + 265578286.

Almost surely, 2^{5205142335400} is an apocalyptic number.

5205142335400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5205142335400 is an abundant number, since it is smaller than the sum of its proper divisors (8872643160470).

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

5205142335400 is a wasteful number, since it uses less digits than its factorization.

5205142335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531137003 (or 531136987 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 5205142335400 in words is "five trillion, two hundred five billion, one hundred forty-two million, three hundred thirty-five thousand, four hundred".