25619742720 has 960 divisors, whose sum is σ = 108335566080. Its totient is φ = 5733089280.

The previous prime is 25619742697. The next prime is 25619742761. The reversal of 25619742720 is 2724791652.

25619742720 is a `hidden beast` number, since 2 + 5 + 619 + 7 + 4 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1970749434 + ... + 1970749446.

It is an arithmetic number, because the mean of its divisors is an integer number (112849548).

Almost surely, 2^25619742720 is an apocalyptic number.

25619742720 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 25619742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54167783040).

25619742720 is an abundant number, since it is smaller than the sum of its proper divisors (82715823360).

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

25619742720 is an frugal number, since it uses more digits than its factorization.

25619742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 25619742720 in words is "twenty-five billion, six hundred nineteen million, seven hundred forty-two thousand, seven hundred twenty".