53608919296 has 81 divisors (see below), whose sum is σ = 111048154581. Its totient is φ = 25828303872.

The previous prime is 53608919293. The next prime is 53608919341. The reversal of 53608919296 is 69291980635.

The square root of 53608919296 is 231536.

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

It can be written as a sum of positive squares in only one way, i.e., 28111216896 + 25497702400 = 167664^2 + 159680^2 .

It is a super-2 number, since 2×53608919296² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53608919296.

It is not an unprimeable number, because it can be changed into a prime (53608919291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107432455 + ... + 107432953.

Almost surely, 2^53608919296 is an apocalyptic number.

53608919296 is the 231536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53608919296

53608919296 is an abundant number, since it is smaller than the sum of its proper divisors (57439235285).

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

53608919296 is an frugal number, since it uses more digits than its factorization.

53608919296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 58.

The spelling of 53608919296 in words is "fifty-three billion, six hundred eight million, nine hundred nineteen thousand, two hundred ninety-six".