25122788601100 has 72 divisors (see below), whose sum is σ = 55797414361920. Its totient is φ = 9813103298880.

The previous prime is 25122788601091. The next prime is 25122788601107. The reversal of 25122788601100 is 110688722152.

25122788601100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (25122788601107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17627799 + ... + 18999601.

It is an arithmetic number, because the mean of its divisors is an integer number (774964088360).

Almost surely, 2^{25122788601100} is an apocalyptic number.

25122788601100 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 25122788601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27898707180960).

25122788601100 is an abundant number, since it is smaller than the sum of its proper divisors (30674625760820).

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

25122788601100 is a wasteful number, since it uses less digits than its factorization.

25122788601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376119 (or 1376112 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 25122788601100 in words is "twenty-five trillion, one hundred twenty-two billion, seven hundred eighty-eight million, six hundred one thousand, one hundred".