25426364946960 has 320 divisors, whose sum is σ = 81557992454400. Its totient is φ = 6548638924800.

The previous prime is 25426364946959. The next prime is 25426364946979. The reversal of 25426364946960 is 6964946362452.

It is a super-2 number, since 2×25426364946960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25426364946891 and 25426364946900.

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, 1202238466 + ... + 1202259614.

It is an arithmetic number, because the mean of its divisors is an integer number (254868726420).

Almost surely, 2^{25426364946960} is an apocalyptic number.

25426364946960 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 25426364946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40778996227200).

25426364946960 is an abundant number, since it is smaller than the sum of its proper divisors (56131627507440).

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

25426364946960 is a wasteful number, since it uses less digits than its factorization.

25426364946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22506 (or 22500 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 66.

The spelling of 25426364946960 in words is "twenty-five trillion, four hundred twenty-six billion, three hundred sixty-four million, nine hundred forty-six thousand, nine hundred sixty".