25121429424 has 960 divisors, whose sum is σ = 97970396160. Its totient is φ = 6046617600.

The previous prime is 25121429393. The next prime is 25121429429. The reversal of 25121429424 is 42492412152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25121429429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248726974 + ... + 248727074.

It is an arithmetic number, because the mean of its divisors is an integer number (102052496).

Almost surely, 2^25121429424 is an apocalyptic number.

25121429424 is a gapful number since it is divisible by the number (24) 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 25121429424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48985198080).

25121429424 is an abundant number, since it is smaller than the sum of its proper divisors (72848966736).

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

25121429424 is a wasteful number, since it uses less digits than its factorization.

25121429424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 25121429424 in words is "twenty-five billion, one hundred twenty-one million, four hundred twenty-nine thousand, four hundred twenty-four".