25878528000 has 816 divisors, whose sum is σ = 104198299296. Its totient is φ = 6370099200.

The previous prime is 25878527981. The next prime is 25878528007. The reversal of 25878528000 is 82587852.

25878528000 is a `hidden beast` number, since 2 + 58 + 78 + 528 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×25878528000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25878528007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990655994 + ... + 1990656006.

Almost surely, 2^25878528000 is an apocalyptic number.

25878528000 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 25878528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52099149648).

25878528000 is an abundant number, since it is smaller than the sum of its proper divisors (78319771296).

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

25878528000 is an frugal number, since it uses more digits than its factorization.

25878528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

It can be divided in two parts, 25878 and 528000, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 25878528000 in words is "twenty-five billion, eight hundred seventy-eight million, five hundred twenty-eight thousand".