23125600256100 has 288 divisors, whose sum is σ = 70545524797440. Its totient is φ = 5837501429760.

The previous prime is 23125600256089. The next prime is 23125600256137. The reversal of 23125600256100 is 165200652132.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 513799797 + ... + 513844803.

It is an arithmetic number, because the mean of its divisors is an integer number (244949738880).

Almost surely, 2^{23125600256100} is an apocalyptic number.

23125600256100 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 23125600256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35272762398720).

23125600256100 is an abundant number, since it is smaller than the sum of its proper divisors (47419924541340).

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

23125600256100 is a wasteful number, since it uses less digits than its factorization.

23125600256100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45819 (or 45812 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 23125600256100 in words is "twenty-three trillion, one hundred twenty-five billion, six hundred million, two hundred fifty-six thousand, one hundred".