25770141544900 has 81 divisors (see below), whose sum is σ = 56315565496519. Its totient is φ = 10235869783360.

The previous prime is 25770141544867. The next prime is 25770141544907. The reversal of 25770141544900 is 944514107752.

The square root of 25770141544900 is 5076430.

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 7691181796804 + 18078959748096 = 2773298^2 + 4251936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25770141544907) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 7563878997 + ... + 7563882403.

Almost surely, 2^{25770141544900} is an apocalyptic number.

25770141544900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25770141544900 is the 5076430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25770141544900

25770141544900 is an abundant number, since it is smaller than the sum of its proper divisors (30545423951619).

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

25770141544900 is an frugal number, since it uses more digits than its factorization.

25770141544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 25770141544900 in words is "twenty-five trillion, seven hundred seventy billion, one hundred forty-one million, five hundred forty-four thousand, nine hundred".