25649262720 has 384 divisors, whose sum is σ = 94414170240. Its totient is φ = 6393987072.

The previous prime is 25649262697. The next prime is 25649262731. The reversal of 25649262720 is 2726294652.

25649262720 is a `hidden beast` number, since 2 + 564 + 9 + 2 + 62 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15960157 + ... + 15961763.

It is an arithmetic number, because the mean of its divisors is an integer number (245870235).

Almost surely, 2^25649262720 is an apocalyptic number.

25649262720 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 25649262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47207085120).

25649262720 is an abundant number, since it is smaller than the sum of its proper divisors (68764907520).

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

25649262720 is a wasteful number, since it uses less digits than its factorization.

25649262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 25649 and 262720, that added together give a square (288369 = 537²).

The spelling of 25649262720 in words is "twenty-five billion, six hundred forty-nine million, two hundred sixty-two thousand, seven hundred twenty".