53152323438096 has 405 divisors, whose sum is σ = 155247793614927. Its totient is φ = 16975932462720.

The previous prime is 53152323438001. The next prime is 53152323438103. The reversal of 53152323438096 is 69083432325135.

The square root of 53152323438096 is 7290564.

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

53152323438096 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 23 + 234 + 380 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 267097102605 + ... + 267097102803.

Almost surely, 2^{53152323438096} is an apocalyptic number.

53152323438096 is the 7290564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53152323438096

53152323438096 is an abundant number, since it is smaller than the sum of its proper divisors (102095470176831).

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

53152323438096 is an equidigital number, since it uses as much as digits as its factorization.

53152323438096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 53152323438096 in words is "fifty-three trillion, one hundred fifty-two billion, three hundred twenty-three million, four hundred thirty-eight thousand, ninety-six".