25368553340928 has 480 divisors, whose sum is σ = 90954691027200. Its totient is φ = 6821781700608.

The previous prime is 25368553340891. The next prime is 25368553340939. The reversal of 25368553340928 is 82904335586352.

25368553340928 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 8 + 5 + 533 + 4 + 0 + 92 + 8 = 666.

It is a super-2 number, since 2×25368553340928² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52400838 + ... + 52882746.

It is an arithmetic number, because the mean of its divisors is an integer number (189488939640).

Almost surely, 2^{25368553340928} is an apocalyptic number.

25368553340928 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 25368553340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45477345513600).

25368553340928 is an abundant number, since it is smaller than the sum of its proper divisors (65586137686272).

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

25368553340928 is an equidigital number, since it uses as much as digits as its factorization.

25368553340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481970 (or 481938 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 25368553340928 in words is "twenty-five trillion, three hundred sixty-eight billion, five hundred fifty-three million, three hundred forty thousand, nine hundred twenty-eight".