25799833856160 has 1920 divisors, whose sum is σ = 113533138059264. Its totient is φ = 5372621291520.

The previous prime is 25799833856131. The next prime is 25799833856171. The reversal of 25799833856160 is 6165833899752.

25799833856160 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 9 + 83 + 385 + 6 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42087820014 + ... + 42087820626.

Almost surely, 2^{25799833856160} is an apocalyptic number.

25799833856160 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 25799833856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766569029632).

25799833856160 is an abundant number, since it is smaller than the sum of its proper divisors (87733304203104).

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

25799833856160 is a wasteful number, since it uses less digits than its factorization.

25799833856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 25799833856160 in words is "twenty-five trillion, seven hundred ninety-nine billion, eight hundred thirty-three million, eight hundred fifty-six thousand, one hundred sixty".