5802654676900 has 81 divisors (see below), whose sum is σ = 12690323314851. Its totient is φ = 2303033887680.

The previous prime is 5802654676883. The next prime is 5802654676909. The reversal of 5802654676900 is 96764562085.

The square root of 5802654676900 is 2408870.

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 224139752356 + 5578514924544 = 473434^2 + 2361888^2 .

It is a super-2 number, since 2×5802654676900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5802654676909) 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, 3348328434 + ... + 3348330166.

Almost surely, 2^{5802654676900} is an apocalyptic number.

5802654676900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5802654676900 is the 2408870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5802654676900

5802654676900 is an abundant number, since it is smaller than the sum of its proper divisors (6887668637951).

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

5802654676900 is an equidigital number, since it uses as much as digits as its factorization.

5802654676900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 5802654676900 in words is "five trillion, eight hundred two billion, six hundred fifty-four million, six hundred seventy-six thousand, nine hundred".