2725416000576 has 168 divisors, whose sum is σ = 7850032523424. Its totient is φ = 904042813440.

The previous prime is 2725416000533. The next prime is 2725416000599. The reversal of 2725416000576 is 6750006145272.

2725416000576 is a `hidden beast` number, since 2 + 72 + 5 + 4 + 1 + 6 + 0 + 0 + 0 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403105036 + ... + 403111796.

It is an arithmetic number, because the mean of its divisors is an integer number (46726384068).

Almost surely, 2^{2725416000576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725416000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925016261712).

2725416000576 is an abundant number, since it is smaller than the sum of its proper divisors (5124616522848).

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

2725416000576 is a wasteful number, since it uses less digits than its factorization.

2725416000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10089 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2725416000576 in words is "two trillion, seven hundred twenty-five billion, four hundred sixteen million, five hundred seventy-six", and thus it is an aban number.