52381579950144 has 819 divisors, whose sum is σ = 167927996767287. Its totient is φ = 16208321273856.

The previous prime is 52381579950131. The next prime is 52381579950179. The reversal of 52381579950144 is 44105997518325.

It is a happy number.

The square root of 52381579950144 is 7237512.

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

52381579950144 is a `hidden beast` number, since 5 + 2 + 3 + 8 + 1 + 579 + 9 + 50 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6614731335744 + 45766848614400 = 2571912^2 + 6765120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 717555889692 + ... + 717555889764.

Almost surely, 2^{52381579950144} is an apocalyptic number.

52381579950144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

52381579950144 is the 7237512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52381579950144

52381579950144 is an abundant number, since it is smaller than the sum of its proper divisors (115546416817143).

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

52381579950144 is an frugal number, since it uses more digits than its factorization.

52381579950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 52381579950144 in words is "fifty-two trillion, three hundred eighty-one billion, five hundred seventy-nine million, nine hundred fifty thousand, one hundred forty-four".