25195161600 has 864 divisors, whose sum is σ = 105512621760. Its totient is φ = 5626920960.

The previous prime is 25195161479. The next prime is 25195161623. The reversal of 25195161600 is 616159152.

25195161600 is a `hidden beast` number, since 25 + 19 + 5 + 1 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×25195161600² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235468747 + ... + 235468853.

It is an arithmetic number, because the mean of its divisors is an integer number (122121090).

Almost surely, 2^25195161600 is an apocalyptic number.

25195161600 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 25195161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52756310880).

25195161600 is an abundant number, since it is smaller than the sum of its proper divisors (80317460160).

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

25195161600 is a wasteful number, since it uses less digits than its factorization.

25195161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 25195161600 in words is "twenty-five billion, one hundred ninety-five million, one hundred sixty-one thousand, six hundred".