2721713538600 has 576 divisors, whose sum is σ = 10534590743040. Its totient is φ = 616861900800.

The previous prime is 2721713538569. The next prime is 2721713538659. The reversal of 2721713538600 is 68353171272.

2721713538600 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 7 + 1 + 3 + 5 + 38 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 939492352 + ... + 939495248.

It is an arithmetic number, because the mean of its divisors is an integer number (18289220040).

Almost surely, 2^{2721713538600} is an apocalyptic number.

2721713538600 is a gapful number since it is divisible by the number (20) 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 2721713538600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267295371520).

2721713538600 is an abundant number, since it is smaller than the sum of its proper divisors (7812877204440).

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

2721713538600 is a wasteful number, since it uses less digits than its factorization.

2721713538600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2721713538600 in words is "two trillion, seven hundred twenty-one billion, seven hundred thirteen million, five hundred thirty-eight thousand, six hundred".