25626375062500 has 63 divisors (see below), whose sum is σ = 56059746429967. Its totient is φ = 10250043800000.

The previous prime is 25626375062459. The next prime is 25626375062521. The reversal of 25626375062500 is 526057362652.

The square root of 25626375062500 is 5062250.

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

It can be written as a sum of positive squares in 10 ways, for example, as 16566804814756 + 9059570247744 = 4070234^2 + 3009912^2 .

It is a super-2 number, since 2×25626375062500² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1265552376 + ... + 1265572624.

Almost surely, 2^{25626375062500} is an apocalyptic number.

25626375062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25626375062500 is the 5062250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25626375062500

25626375062500 is an abundant number, since it is smaller than the sum of its proper divisors (30433371367467).

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

25626375062500 is an frugal number, since it uses more digits than its factorization.

25626375062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40532 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

The spelling of 25626375062500 in words is "twenty-five trillion, six hundred twenty-six billion, three hundred seventy-five million, sixty-two thousand, five hundred".