54356262928900 has 81 divisors (see below), whose sum is σ = 122165497197471. Its totient is φ = 20991937874880.

The previous prime is 54356262928897. The next prime is 54356262928907. The reversal of 54356262928900 is 982926265345.

The square root of 54356262928900 is 7372670.

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

54356262928900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 747156241924 + 53609106686976 = 864382^2 + 7321824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54356262928907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2138061589 + ... + 2138087011.

Almost surely, 2^{54356262928900} is an apocalyptic number.

54356262928900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54356262928900 is the 7372670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54356262928900

54356262928900 is an abundant number, since it is smaller than the sum of its proper divisors (67809234268571).

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

54356262928900 is an frugal number, since it uses more digits than its factorization.

54356262928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50918 (or 25459 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 61.

The spelling of 54356262928900 in words is "fifty-four trillion, three hundred fifty-six billion, two hundred sixty-two million, nine hundred twenty-eight thousand, nine hundred".