52442624425984 has 279 divisors, whose sum is σ = 120647778772107. Its totient is φ = 22780506537984.

The previous prime is 52442624425979. The next prime is 52442624426009. The reversal of 52442624425984 is 48952442624425.

The square root of 52442624425984 is 7241728.

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

It can be written as a sum of positive squares in 4 ways, for example, as 473520144384 + 51969104281600 = 688128^2 + 7208960^2 .

It is a Duffinian number.

Its product of digits (176947200) is a multiple of the sum of its prime divisors (32).

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, 3084860260344 + ... + 3084860260360.

Almost surely, 2^{52442624425984} is an apocalyptic number.

52442624425984 is a droll number since its even prime factors and its odd prime factors have the same sum.

52442624425984 is the 7241728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52442624425984

52442624425984 is an abundant number, since it is smaller than the sum of its proper divisors (68205154346123).

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

52442624425984 is an frugal number, since it uses more digits than its factorization.

52442624425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 32 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 61.

The spelling of 52442624425984 in words is "fifty-two trillion, four hundred forty-two billion, six hundred twenty-four million, four hundred twenty-five thousand, nine hundred eighty-four".