25142672100 has 288 divisors, whose sum is σ = 89821751040. Its totient is φ = 5287772160.

The previous prime is 25142672077. The next prime is 25142672101. The reversal of 25142672100 is 127624152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25142672101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9635596 + ... + 9638204.

It is an arithmetic number, because the mean of its divisors is an integer number (311881080).

Almost surely, 2^25142672100 is an apocalyptic number.

25142672100 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 25142672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44910875520).

25142672100 is an abundant number, since it is smaller than the sum of its proper divisors (64679078940).

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

25142672100 is a wasteful number, since it uses less digits than its factorization.

25142672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 25142672100 in words is "twenty-five billion, one hundred forty-two million, six hundred seventy-two thousand, one hundred".