5120535379600 has 45 divisors (see below), whose sum is σ = 12302194980873. Its totient is φ = 2048196048960.

The previous prime is 5120535379543. The next prime is 5120535379639. The reversal of 5120535379600 is 69735350215.

The square root of 5120535379600 is 2262860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1843392736656 + 3277142642944 = 1357716^2 + 1810288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45200629 + ... + 45313771.

Almost surely, 2^{5120535379600} is an apocalyptic number.

5120535379600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5120535379600 is the 2262860-th square number.

It is an amenable number.

5120535379600 is an abundant number, since it is smaller than the sum of its proper divisors (7181659601273).

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

5120535379600 is an frugal number, since it uses more digits than its factorization.

5120535379600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226304 (or 113150 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 46.

The spelling of 5120535379600 in words is "five trillion, one hundred twenty billion, five hundred thirty-five million, three hundred seventy-nine thousand, six hundred".