53865768100 has 27 divisors (see below), whose sum is σ = 116893753347. Its totient is φ = 21545378880.

The previous prime is 53865768059. The next prime is 53865768107. The reversal of 53865768100 is 186756835.

The square root of 53865768100 is 232090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 674648676 + 53191119424 = 25974^2 + 230632^2 .

It is a super-2 number, since 2×53865768100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53865768107) 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, 2309296 + ... + 2332504.

Almost surely, 2^53865768100 is an apocalyptic number.

53865768100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53865768100 is the 232090-th square number.

It is an amenable number.

53865768100 is an abundant number, since it is smaller than the sum of its proper divisors (63027985247).

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

53865768100 is an frugal number, since it uses more digits than its factorization.

53865768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46432 (or 23216 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 53865768100 by its sum of digits (49), we get a square (2639422636900 = 1624630²).

The spelling of 53865768100 in words is "fifty-three billion, eight hundred sixty-five million, seven hundred sixty-eight thousand, one hundred".