25340538052800 has 1344 divisors, whose sum is σ = 95001006848000. Its totient is φ = 6651279360000.

The previous prime is 25340538052763. The next prime is 25340538052853. The reversal of 25340538052800 is 825083504352.

25340538052800 is a `hidden beast` number, since 2 + 5 + 3 + 40 + 5 + 3 + 80 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105147460680 + ... + 105147460920.

Almost surely, 2^{25340538052800} is an apocalyptic number.

25340538052800 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 25340538052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47500503424000).

25340538052800 is an abundant number, since it is smaller than the sum of its proper divisors (69660468795200).

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

25340538052800 is a wasteful number, since it uses less digits than its factorization.

25340538052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 25340538052800 in words is "twenty-five trillion, three hundred forty billion, five hundred thirty-eight million, fifty-two thousand, eight hundred".