25513249376160 has 1440 divisors, whose sum is σ = 112083727916160. Its totient is φ = 5351343169536.

The previous prime is 25513249376137. The next prime is 25513249376191. The reversal of 25513249376160 is 6167394231552.

25513249376160 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 32 + 493 + 7 + 61 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 25513249376097 and 25513249376106.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2652375831 + ... + 2652385449.

It is an arithmetic number, because the mean of its divisors is an integer number (77835922164).

Almost surely, 2^{25513249376160} is an apocalyptic number.

25513249376160 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 25513249376160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56041863958080).

25513249376160 is an abundant number, since it is smaller than the sum of its proper divisors (86570478540000).

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

25513249376160 is a wasteful number, since it uses less digits than its factorization.

25513249376160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 25513249376160 in words is "twenty-five trillion, five hundred thirteen billion, two hundred forty-nine million, three hundred seventy-six thousand, one hundred sixty".