56654073072100 has 135 divisors (see below), whose sum is σ = 143430031714011. Its totient is φ = 19422989107200.

The previous prime is 56654073072071. The next prime is 56654073072131. The reversal of 56654073072100 is 127037045665.

The square root of 56654073072100 is 7526890.

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 1070368191396 + 55583704880704 = 1034586^2 + 7455448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3688168420 + ... + 3688183780.

Almost surely, 2^{56654073072100} is an apocalyptic number.

56654073072100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56654073072100 is the 7526890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56654073072100

56654073072100 is an abundant number, since it is smaller than the sum of its proper divisors (86775958641911).

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

56654073072100 is an frugal number, since it uses more digits than its factorization.

56654073072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30764 (or 15375 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 56654073072100 in words is "fifty-six trillion, six hundred fifty-four billion, seventy-three million, seventy-two thousand, one hundred".