5677272610000 has 100 divisors (see below), whose sum is σ = 13782104293012. Its totient is φ = 2264819328000.

The previous prime is 5677272609991. The next prime is 5677272610013. The reversal of 5677272610000 is 162727765.

It can be written as a sum of positive squares in 10 ways, for example, as 4689165040704 + 988107569296 = 2165448^2 + 994036^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2968972 + ... + 4491028.

Almost surely, 2^{5677272610000} is an apocalyptic number.

5677272610000 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 5677272610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891052146506).

5677272610000 is an abundant number, since it is smaller than the sum of its proper divisors (8104831683012).

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

5677272610000 is a wasteful number, since it uses less digits than its factorization.

5677272610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522458 (or 1522437 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 5677272610000 in words is "five trillion, six hundred seventy-seven billion, two hundred seventy-two million, six hundred ten thousand".