25026506534400 has 2880 divisors, whose sum is σ = 106656268561920. Its totient is φ = 5046534144000.

The previous prime is 25026506534371. The next prime is 25026506534413. The reversal of 25026506534400 is 443560562052.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 180046809531 + ... + 180046809669.

It is an arithmetic number, because the mean of its divisors is an integer number (37033426584).

Almost surely, 2^{25026506534400} is an apocalyptic number.

25026506534400 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 25026506534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53328134280960).

25026506534400 is an abundant number, since it is smaller than the sum of its proper divisors (81629762027520).

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

25026506534400 is a wasteful number, since it uses less digits than its factorization.

25026506534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 25026506534400 in words is "twenty-five trillion, twenty-six billion, five hundred six million, five hundred thirty-four thousand, four hundred".