25986214800 has 960 divisors, whose sum is σ = 115260956160. Its totient is φ = 5414584320.

The previous prime is 25986214763. The next prime is 25986214843. The reversal of 25986214800 is 841268952.

25986214800 is a `hidden beast` number, since 25 + 98 + 62 + 1 + 480 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134643504 + ... + 134643696.

It is an arithmetic number, because the mean of its divisors is an integer number (120063496).

Almost surely, 2^25986214800 is an apocalyptic number.

25986214800 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 25986214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57630478080).

25986214800 is an abundant number, since it is smaller than the sum of its proper divisors (89274741360).

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

25986214800 is a wasteful number, since it uses less digits than its factorization.

25986214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25986214800 in words is "twenty-five billion, nine hundred eighty-six million, two hundred fourteen thousand, eight hundred".