1656729379600 has 135 divisors (see below), whose sum is σ = 4017811277493. Its totient is φ = 656503182720.

The previous prime is 1656729379573. The next prime is 1656729379601. The reversal of 1656729379600 is 69739276561.

The square root of 1656729379600 is 1287140.

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., 596422576656 + 1060306802944 = 772284^2 + 1029712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1656729379601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3578248969 + ... + 3578249431.

Almost surely, 2^{1656729379600} is an apocalyptic number.

1656729379600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1656729379600 is the 1287140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656729379600

1656729379600 is an abundant number, since it is smaller than the sum of its proper divisors (2361081897893).

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

1656729379600 is an frugal number, since it uses more digits than its factorization.

1656729379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 61.

It can be divided in two parts, 1656729 and 379600, that added together give a square (2036329 = 1427²).

The spelling of 1656729379600 in words is "one trillion, six hundred fifty-six billion, seven hundred twenty-nine million, three hundred seventy-nine thousand, six hundred".