53349912576 has 195 divisors, whose sum is σ = 159770066533. Its totient is φ = 17738956800.

The previous prime is 53349912521. The next prime is 53349912599. The reversal of 53349912576 is 67521994335.

The square root of 53349912576 is 230976.

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

53349912576 is a `hidden beast` number, since 53 + 3 + 4 + 9 + 9 + 12 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52819070976 + 530841600 = 229824^2 + 23040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 133041976 + ... + 133042376.

Almost surely, 2^53349912576 is an apocalyptic number.

53349912576 is the 230976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53349912576

53349912576 is an abundant number, since it is smaller than the sum of its proper divisors (106420153957).

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

53349912576 is an frugal number, since it uses more digits than its factorization.

53349912576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 406 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 53349912576 in words is "fifty-three billion, three hundred forty-nine million, nine hundred twelve thousand, five hundred seventy-six".