25505121225100 has 144 divisors (see below), whose sum is σ = 60873959817216. Its totient is φ = 9198628992000.

The previous prime is 25505121225097. The next prime is 25505121225167. The reversal of 25505121225100 is 152212150552.

It is a super-2 number, since 2×25505121225100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70623589 + ... + 70983811.

It is an arithmetic number, because the mean of its divisors is an integer number (422735832064).

Almost surely, 2^{25505121225100} is an apocalyptic number.

25505121225100 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 25505121225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30436979908608).

25505121225100 is an abundant number, since it is smaller than the sum of its proper divisors (35368838592116).

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

25505121225100 is a wasteful number, since it uses less digits than its factorization.

25505121225100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360776 (or 360769 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 31.

Adding to 25505121225100 its reverse (152212150552), we get a palindrome (25657333375652).

The spelling of 25505121225100 in words is "twenty-five trillion, five hundred five billion, one hundred twenty-one million, two hundred twenty-five thousand, one hundred".