25124422442152 has 128 divisors (see below), whose sum is σ = 52865519616000. Its totient is φ = 11094874560000.

The previous prime is 25124422442137. The next prime is 25124422442159.

25124422442152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25124422442152² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25124422442159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345660077 + ... + 2345670787.

It is an arithmetic number, because the mean of its divisors is an integer number (413011872000).

Almost surely, 2^{25124422442152} is an apocalyptic number.

25124422442152 is a gapful number since it is divisible by the number (22) 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 25124422442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26432759808000).

25124422442152 is an abundant number, since it is smaller than the sum of its proper divisors (27741097173848).

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

25124422442152 is a wasteful number, since it uses less digits than its factorization.

25124422442152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13439 (or 13435 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 2512442 and 2442152, that added together give a palindrome (4954594).

The spelling of 25124422442152 in words is "twenty-five trillion, one hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, one hundred fifty-two".