25531413400000 has 1344 divisors, whose sum is σ = 72457752407040. Its totient is φ = 8883302400000.

The previous prime is 25531413399991. The next prime is 25531413400007. The reversal of 25531413400000 is 431413552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25531413400007) 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 191 ways as a sum of consecutive naturals, for example, 247877799949 + ... + 247877800051.

It is an arithmetic number, because the mean of its divisors is an integer number (53912018160).

Almost surely, 2^{25531413400000} is an apocalyptic number.

25531413400000 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 25531413400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36228876203520).

25531413400000 is an abundant number, since it is smaller than the sum of its proper divisors (46926339007040).

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

25531413400000 is a wasteful number, since it uses less digits than its factorization.

25531413400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 25531413400000 its reverse (431413552), we get a palindrome (25531844813552).

The spelling of 25531413400000 in words is "twenty-five trillion, five hundred thirty-one billion, four hundred thirteen million, four hundred thousand".