25335088900 has 81 divisors (see below), whose sum is σ = 60471212277. Its totient is φ = 9206392800.

The previous prime is 25335088897. The next prime is 25335088913. The reversal of 25335088900 is 988053352.

The square root of 25335088900 is 159170.

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

It can be written as a sum of positive squares in only one way, i.e., 9120632004 + 16214456896 = 95502^2 + 127336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17507977 + ... + 17509423.

Almost surely, 2^25335088900 is an apocalyptic number.

25335088900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25335088900 is the 159170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25335088900

25335088900 is an abundant number, since it is smaller than the sum of its proper divisors (35136123377).

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

25335088900 is a wasteful number, since it uses less digits than its factorization.

25335088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 25335088900 in words is "twenty-five billion, three hundred thirty-five million, eighty-eight thousand, nine hundred".