54774721600 has 63 divisors (see below), whose sum is σ = 134803088661. Its totient is φ = 21906144000.

The previous prime is 54774721583. The next prime is 54774721601. The reversal of 54774721600 is 612747745.

The square root of 54774721600 is 234040.

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., 19718899776 + 35055821824 = 140424^2 + 187232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54774721601) 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, 9358675 + ... + 9364525.

Almost surely, 2^54774721600 is an apocalyptic number.

54774721600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54774721600 is the 234040-th square number.

It is an amenable number.

54774721600 is an abundant number, since it is smaller than the sum of its proper divisors (80028367061).

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

54774721600 is an frugal number, since it uses more digits than its factorization.

54774721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 54774721600 in words is "fifty-four billion, seven hundred seventy-four million, seven hundred twenty-one thousand, six hundred".