7057895488900 has 81 divisors (see below), whose sum is σ = 15427765255791. Its totient is φ = 2802638076480.

The previous prime is 7057895488873. The next prime is 7057895488901. The reversal of 7057895488900 is 98845987507.

The square root of 7057895488900 is 2656670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2106451655044 + 4951443833856 = 1451362^2 + 2225184^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7057895488900.

It is not an unprimeable number, because it can be changed into a prime (7057895488901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3958437409 + ... + 3958439191.

Almost surely, 2^{7057895488900} is an apocalyptic number.

7057895488900 is the 2656670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7057895488900

7057895488900 is an abundant number, since it is smaller than the sum of its proper divisors (8369869766891).

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

7057895488900 is an equidigital number, since it uses as much as digits as its factorization.

7057895488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 70.

The spelling of 7057895488900 in words is "seven trillion, fifty-seven billion, eight hundred ninety-five million, four hundred eighty-eight thousand, nine hundred".