25150672800 has 432 divisors, whose sum is σ = 99992975040. Its totient is φ = 6096499200.

The previous prime is 25150672793. The next prime is 25150672801. The reversal of 25150672800 is 827605152.

It is a happy number.

25150672800 is a `hidden beast` number, since 2 + 5 + 1 + 506 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25150672801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2608789 + ... + 2618411.

It is an arithmetic number, because the mean of its divisors is an integer number (231465220).

Almost surely, 2^25150672800 is an apocalyptic number.

25150672800 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 25150672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996487520).

25150672800 is an abundant number, since it is smaller than the sum of its proper divisors (74842302240).

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

25150672800 is a wasteful number, since it uses less digits than its factorization.

25150672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9674 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 25150672800 in words is "twenty-five billion, one hundred fifty million, six hundred seventy-two thousand, eight hundred".