25240600519680 has 2112 divisors, whose sum is σ = 109605377629440. Its totient is φ = 4894274617344.

The previous prime is 25240600519633. The next prime is 25240600519699. The reversal of 25240600519680 is 8691500604252.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7152336156 + ... + 7152339684.

It is an arithmetic number, because the mean of its divisors is an integer number (51896485620).

Almost surely, 2^{25240600519680} is an apocalyptic number.

25240600519680 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 25240600519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54802688814720).

25240600519680 is an abundant number, since it is smaller than the sum of its proper divisors (84364777109760).

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

25240600519680 is a wasteful number, since it uses less digits than its factorization.

25240600519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 25240600519680 in words is "twenty-five trillion, two hundred forty billion, six hundred million, five hundred nineteen thousand, six hundred eighty".