53652456900 has 243 divisors, whose sum is σ = 195804597261. Its totient is φ = 12252300480.

The previous prime is 53652456889. The next prime is 53652456941. The reversal of 53652456900 is 965425635.

The square root of 53652456900 is 231630.

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

53652456900 is a `hidden beast` number, since 5 + 3 + 65 + 24 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19314884484 + 34337572416 = 138978^2 + 185304^2 .

It is a super-2 number, since 2×53652456900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 48641749 + ... + 48642851.

Almost surely, 2^53652456900 is an apocalyptic number.

53652456900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53652456900 is the 231630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53652456900

53652456900 is an abundant number, since it is smaller than the sum of its proper divisors (142152140361).

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

53652456900 is a wasteful number, since it uses less digits than its factorization.

53652456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 53652456900 in words is "fifty-three billion, six hundred fifty-two million, four hundred fifty-six thousand, nine hundred".