53500418102404 has 81 divisors (see below), whose sum is σ = 117936759833487. Its totient is φ = 21164473931328.

The previous prime is 53500418102357. The next prime is 53500418102473. The reversal of 53500418102404 is 40420181400535.

The square root of 53500418102404 is 7314398.

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 40531430944900 + 12968987157504 = 6366430^2 + 3601248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1331200342 + ... + 1331240530.

Almost surely, 2^{53500418102404} is an apocalyptic number.

53500418102404 is the 7314398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53500418102404

53500418102404 is an abundant number, since it is smaller than the sum of its proper divisors (64436341731083).

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

53500418102404 is an frugal number, since it uses more digits than its factorization.

53500418102404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80422 (or 40211 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 53500418102404 its reverse (40420181400535), we get a palindrome (93920599502939).

The spelling of 53500418102404 in words is "fifty-three trillion, five hundred billion, four hundred eighteen million, one hundred two thousand, four hundred four".