895426912900 has 243 divisors, whose sum is σ = 2187812538093. Its totient is φ = 317946720000.

The previous prime is 895426912829. The next prime is 895426912903. The reversal of 895426912900 is 9219624598.

The square root of 895426912900 is 946270.

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

It can be written as a sum of positive squares in 13 ways, for example, as 828329335876 + 67097577024 = 910126^2 + 259032^2 .

It is not an unprimeable number, because it can be changed into a prime (895426912903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3567437775 + ... + 3567438025.

Almost surely, 2^895426912900 is an apocalyptic number.

895426912900 is the 946270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895426912900

895426912900 is an abundant number, since it is smaller than the sum of its proper divisors (1292385625193).

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

895426912900 is a wasteful number, since it uses less digits than its factorization.

895426912900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 895426912900 in words is "eight hundred ninety-five billion, four hundred twenty-six million, nine hundred twelve thousand, nine hundred".