25438568123424 has 384 divisors, whose sum is σ = 73128782361600. Its totient is φ = 7712181227520.

The previous prime is 25438568123407. The next prime is 25438568123461. The reversal of 25438568123424 is 42432186583452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7286898319 + ... + 7286901809.

It is an arithmetic number, because the mean of its divisors is an integer number (190439537400).

Almost surely, 2^{25438568123424} is an apocalyptic number.

25438568123424 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 25438568123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36564391180800).

25438568123424 is an abundant number, since it is smaller than the sum of its proper divisors (47690214238176).

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

25438568123424 is a wasteful number, since it uses less digits than its factorization.

25438568123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4288 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 57.

The spelling of 25438568123424 in words is "twenty-five trillion, four hundred thirty-eight billion, five hundred sixty-eight million, one hundred twenty-three thousand, four hundred twenty-four".