25116829920 has 1152 divisors, whose sum is σ = 113419837440. Its totient is φ = 5106032640.

The previous prime is 25116829897. The next prime is 25116829937. The reversal of 25116829920 is 2992861152.

It is a happy number.

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, 109680366 + ... + 109680594.

It is an arithmetic number, because the mean of its divisors is an integer number (98454720).

Almost surely, 2^25116829920 is an apocalyptic number.

25116829920 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 25116829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56709918720).

25116829920 is an abundant number, since it is smaller than the sum of its proper divisors (88303007520).

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

25116829920 is a wasteful number, since it uses less digits than its factorization.

25116829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 25116829920 in words is "twenty-five billion, one hundred sixteen million, eight hundred twenty-nine thousand, nine hundred twenty".