25563928416768 has 3600 divisors, whose sum is σ = 103971778416000. Its totient is φ = 6208362381312.

The previous prime is 25563928416731. The next prime is 25563928416823. The reversal of 25563928416768 is 86761482936552.

25563928416768 is a `hidden beast` number, since 2 + 5 + 5 + 63 + 92 + 8 + 416 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 25563928416696 and 25563928416705.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 323594030553 + ... + 323594030631.

It is an arithmetic number, because the mean of its divisors is an integer number (28881049560).

Almost surely, 2^{25563928416768} is an apocalyptic number.

25563928416768 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 25563928416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51985889208000).

25563928416768 is an abundant number, since it is smaller than the sum of its proper divisors (78407849999232).

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

25563928416768 is a wasteful number, since it uses less digits than its factorization.

25563928416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 156 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 25563928416768 in words is "twenty-five trillion, five hundred sixty-three billion, nine hundred twenty-eight million, four hundred sixteen thousand, seven hundred sixty-eight".