56035854204100 has 81 divisors (see below), whose sum is σ = 122333015991207. Its totient is φ = 22279628844480.

The previous prime is 56035854204047. The next prime is 56035854204157. The reversal of 56035854204100 is 140245853065.

The square root of 56035854204100 is 7485710.

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 6168755755204 + 49867098448896 = 2483698^2 + 7061664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12950276137 + ... + 12950280463.

Almost surely, 2^{56035854204100} is an apocalyptic number.

56035854204100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56035854204100 is the 7485710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56035854204100

56035854204100 is an abundant number, since it is smaller than the sum of its proper divisors (66297161787107).

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

56035854204100 is an frugal number, since it uses more digits than its factorization.

56035854204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 56035854204100 in words is "fifty-six trillion, thirty-five billion, eight hundred fifty-four million, two hundred four thousand, one hundred".