26121125000 has 112 divisors (see below), whose sum is σ = 61856630100. Its totient is φ = 10340000000.

The previous prime is 26121124993. The next prime is 26121125029. The reversal of 26121125000 is 52112162.

It can be written as a sum of positive squares in 14 ways, for example, as 20899328356 + 5221796644 = 144566^2 + 72262^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12623966 + ... + 12626034.

Almost surely, 2^26121125000 is an apocalyptic number.

26121125000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26121125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30928315050).

26121125000 is an abundant number, since it is smaller than the sum of its proper divisors (35735505100).

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

26121125000 is an equidigital number, since it uses as much as digits as its factorization.

26121125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 26121125000 its reverse (52112162), we get a palindrome (26173237162).

The spelling of 26121125000 in words is "twenty-six billion, one hundred twenty-one million, one hundred twenty-five thousand".