25088533008 has 480 divisors, whose sum is σ = 84709244928. Its totient is φ = 6258954240.

The previous prime is 25088532979. The next prime is 25088533013. The reversal of 25088533008 is 80033588052.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 197547441 + ... + 197547567.

Almost surely, 2^25088533008 is an apocalyptic number.

25088533008 is a gapful number since it is divisible by the number (28) 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 25088533008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42354622464).

25088533008 is an abundant number, since it is smaller than the sum of its proper divisors (59620711920).

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

25088533008 is a wasteful number, since it uses less digits than its factorization.

25088533008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

It can be divided in two parts, 25088 and 533008, that added together give a triangular number (558096 = T₁₀₅₆).

The spelling of 25088533008 in words is "twenty-five billion, eighty-eight million, five hundred thirty-three thousand, eight".