52657398784 has 99 divisors (see below), whose sum is σ = 107834402233. Its totient is φ = 25700864000.

The previous prime is 52657398751. The next prime is 52657398793. The reversal of 52657398784 is 48789375625.

The square root of 52657398784 is 229472.

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., 50592605184 + 2064793600 = 224928^2 + 45440^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 521360334 + ... + 521360434.

Almost surely, 2^52657398784 is an apocalyptic number.

52657398784 is the 229472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52657398784

52657398784 is an abundant number, since it is smaller than the sum of its proper divisors (55177003449).

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

52657398784 is an frugal number, since it uses more digits than its factorization.

52657398784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 174 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

Multiplying 52657398784 by its sum of digits (64), we get a square (3370073522176 = 1835776²).

52657398784 divided by its sum of digits (64) gives a square (822771856 = 28684²).

The spelling of 52657398784 in words is "fifty-two billion, six hundred fifty-seven million, three hundred ninety-eight thousand, seven hundred eighty-four".