56133210684100 has 81 divisors (see below), whose sum is σ = 133891271032813. Its totient is φ = 20411776924000.

The previous prime is 56133210684097. The next prime is 56133210684121. The reversal of 56133210684100 is 148601233165.

The square root of 56133210684100 is 7492210.

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., 20207955846276 + 35925254837824 = 4495326^2 + 5993768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 824109045 + ... + 824177155.

Almost surely, 2^{56133210684100} is an apocalyptic number.

56133210684100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56133210684100 is the 7492210-th square number.

It is an amenable number.

56133210684100 is an abundant number, since it is smaller than the sum of its proper divisors (77758060348713).

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

56133210684100 is an frugal number, since it uses more digits than its factorization.

56133210684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136258 (or 68129 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 56133210684100 in words is "fifty-six trillion, one hundred thirty-three billion, two hundred ten million, six hundred eighty-four thousand, one hundred".