2725871616000 has 1520 divisors, whose sum is σ = 11084014381440. Its totient is φ = 662490316800.

The previous prime is 2725871615959. The next prime is 2725871616007. The reversal of 2725871616000 is 6161785272.

2725871616000 is a `hidden beast` number, since 2 + 7 + 2 + 587 + 1 + 6 + 1 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725871616007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34504703961 + ... + 34504704039.

Almost surely, 2^{2725871616000} is an apocalyptic number.

2725871616000 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 2725871616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542007190720).

2725871616000 is an abundant number, since it is smaller than the sum of its proper divisors (8358142765440).

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

2725871616000 is an frugal number, since it uses more digits than its factorization.

2725871616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2725871616000 in words is "two trillion, seven hundred twenty-five billion, eight hundred seventy-one million, six hundred sixteen thousand".