25564028470848 has 1008 divisors, whose sum is σ = 87690456494784. Its totient is φ = 7097654108160.

The previous prime is 25564028470847. The next prime is 25564028470867. The reversal of 25564028470848 is 84807482046552.

It is a happy number.

25564028470848 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 402 + 84 + 70 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25564028470847) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60722157678 + ... + 60722158098.

Almost surely, 2^{25564028470848} is an apocalyptic number.

25564028470848 is a gapful number since it is divisible by the number (28) 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 25564028470848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43845228247392).

25564028470848 is an abundant number, since it is smaller than the sum of its proper divisors (62126428023936).

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

25564028470848 is a wasteful number, since it uses less digits than its factorization.

25564028470848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 63.

The spelling of 25564028470848 in words is "twenty-five trillion, five hundred sixty-four billion, twenty-eight million, four hundred seventy thousand, eight hundred forty-eight".