25396348050720 has 720 divisors, whose sum is σ = 93003570347688. Its totient is φ = 6526266163200.

The previous prime is 25396348050713. The next prime is 25396348050761. The reversal of 25396348050720 is 2705084369352.

25396348050720 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 6 + 34 + 80 + 507 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3942813865104 + 21453534185616 = 1985652^2 + 4631796^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6550513422 + ... + 6550517298.

Almost surely, 2^{25396348050720} is an apocalyptic number.

25396348050720 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 25396348050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46501785173844).

25396348050720 is an abundant number, since it is smaller than the sum of its proper divisors (67607222296968).

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

25396348050720 is a wasteful number, since it uses less digits than its factorization.

25396348050720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 25396348050720 in words is "twenty-five trillion, three hundred ninety-six billion, three hundred forty-eight million, fifty thousand, seven hundred twenty".