25556670720 has 576 divisors, whose sum is σ = 104489280000. Its totient is φ = 5794136064.

The previous prime is 25556670709. The next prime is 25556670743. The reversal of 25556670720 is 2707665552.

25556670720 is a `hidden beast` number, since 2 + 5 + 556 + 6 + 70 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 36045726 + ... + 36046434.

It is an arithmetic number, because the mean of its divisors is an integer number (181405000).

Almost surely, 2^25556670720 is an apocalyptic number.

25556670720 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 25556670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52244640000).

25556670720 is an abundant number, since it is smaller than the sum of its proper divisors (78932609280).

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

25556670720 is a wasteful number, since it uses less digits than its factorization.

25556670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 25556670720 in words is "twenty-five billion, five hundred fifty-six million, six hundred seventy thousand, seven hundred twenty".