25205304101040 has 960 divisors, whose sum is σ = 109651621847040. Its totient is φ = 5247389122560.

The previous prime is 25205304100987. The next prime is 25205304101269. The reversal of 25205304101040 is 4010140350252.

25205304101040 is a `hidden beast` number, since 2 + 5 + 20 + 530 + 4 + 1 + 0 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25205304100995 and 25205304101013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71538426 + ... + 71889894.

It is an arithmetic number, because the mean of its divisors is an integer number (114220439424).

Almost surely, 2^{25205304101040} is an apocalyptic number.

25205304101040 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 25205304101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54825810923520).

25205304101040 is an abundant number, since it is smaller than the sum of its proper divisors (84446317746000).

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

25205304101040 is a wasteful number, since it uses less digits than its factorization.

25205304101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351552 (or 351534 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 25205304101040 its reverse (4010140350252), we get a palindrome (29215444451292).

The spelling of 25205304101040 in words is "twenty-five trillion, two hundred five billion, three hundred four million, one hundred one thousand, forty".