25887821222016 has 768 divisors, whose sum is σ = 84094028928000. Its totient is φ = 7880002818048.

The previous prime is 25887821221993. The next prime is 25887821222023. The reversal of 25887821222016 is 61022212878852.

25887821222016 is a `hidden beast` number, since 2 + 588 + 7 + 8 + 2 + 1 + 22 + 20 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20177568511 + ... + 20177569793.

It is an arithmetic number, because the mean of its divisors is an integer number (109497433500).

Almost surely, 2^{25887821222016} is an apocalyptic number.

25887821222016 is a gapful number since it is divisible by the number (26) 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 25887821222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42047014464000).

25887821222016 is an abundant number, since it is smaller than the sum of its proper divisors (58206207705984).

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

25887821222016 is a wasteful number, since it uses less digits than its factorization.

25887821222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 25887821222016 in words is "twenty-five trillion, eight hundred eighty-seven billion, eight hundred twenty-one million, two hundred twenty-two thousand, sixteen".