25413812856432 has 480 divisors, whose sum is σ = 99691891810560. Its totient is φ = 6093221137920.

The previous prime is 25413812856409. The next prime is 25413812856491. The reversal of 25413812856432 is 23465821831452.

25413812856432 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 38 + 12 + 8 + 564 + 32 = 666.

It is a super-2 number, since 2×25413812856432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1170798 + ... + 7224845.

It is an arithmetic number, because the mean of its divisors is an integer number (207691441272).

Almost surely, 2^{25413812856432} is an apocalyptic number.

25413812856432 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 25413812856432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49845945905280).

25413812856432 is an abundant number, since it is smaller than the sum of its proper divisors (74278078954128).

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

25413812856432 is a wasteful number, since it uses less digits than its factorization.

25413812856432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395698 (or 8395679 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 25413812856432 in words is "twenty-five trillion, four hundred thirteen billion, eight hundred twelve million, eight hundred fifty-six thousand, four hundred thirty-two".