52403729077764 has 405 divisors, whose sum is σ = 149421130204269. Its totient is φ = 16011602657280.

The previous prime is 52403729077757. The next prime is 52403729077771. The reversal of 52403729077764 is 46777092730425.

The square root of 52403729077764 is 7239042.

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

52403729077764 is a `hidden beast` number, since 5 + 2 + 40 + 372 + 90 + 77 + 76 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52403729077757) and next prime (52403729077771).

It can be written as a sum of positive squares in 13 ways, for example, as 6226811548164 + 46176917529600 = 2495358^2 + 6795360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 90821020644 + ... + 90821021220.

Almost surely, 2^{52403729077764} is an apocalyptic number.

52403729077764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

52403729077764 is the 7239042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52403729077764

52403729077764 is an abundant number, since it is smaller than the sum of its proper divisors (97017401126505).

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

52403729077764 is an equidigital number, since it uses as much as digits as its factorization.

52403729077764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 52403729077764 in words is "fifty-two trillion, four hundred three billion, seven hundred twenty-nine million, seventy-seven thousand, seven hundred sixty-four".