25173072100 has 144 divisors (see below), whose sum is σ = 61366072320. Its totient is φ = 8882611200.

The previous prime is 25173072061. The next prime is 25173072103. The reversal of 25173072100 is 127037152.

It is not an unprimeable number, because it can be changed into a prime (25173072103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23157757 + ... + 23158843.

It is an arithmetic number, because the mean of its divisors is an integer number (426153280).

Almost surely, 2^25173072100 is an apocalyptic number.

25173072100 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 25173072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30683036160).

25173072100 is an abundant number, since it is smaller than the sum of its proper divisors (36193000220).

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

25173072100 is a wasteful number, since it uses less digits than its factorization.

25173072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 25173072100 in words is "twenty-five billion, one hundred seventy-three million, seventy-two thousand, one hundred".