5756687082900 has 504 divisors, whose sum is σ = 20242891731384. Its totient is φ = 1411922534400.

The previous prime is 5756687082847. The next prime is 5756687082931. The reversal of 5756687082900 is 92807866575.

It can be written as a sum of positive squares in 12 ways, for example, as 3046567775364 + 2710119307536 = 1745442^2 + 1646244^2 .

It is a super-2 number, since 2×5756687082900² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 266292892 + ... + 266314508.

It is an arithmetic number, because the mean of its divisors is an integer number (40164467721).

Almost surely, 2^{5756687082900} is an apocalyptic number.

5756687082900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756687082900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121445865692).

5756687082900 is an abundant number, since it is smaller than the sum of its proper divisors (14486204648484).

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

5756687082900 is a wasteful number, since it uses less digits than its factorization.

5756687082900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21943 (or 21921 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 5756687082900 in words is "five trillion, seven hundred fifty-six billion, six hundred eighty-seven million, eighty-two thousand, nine hundred".