25465994072064 has 3120 divisors, whose sum is σ = 103260762823680. Its totient is φ = 6217057566720.

The previous prime is 25465994072059. The next prime is 25465994072147. The reversal of 25465994072064 is 46027049956452.

25465994072064 is a `hidden beast` number, since 2 + 5 + 4 + 65 + 99 + 407 + 20 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25465994071992 and 25465994072010.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 821483679729 + ... + 821483679759.

Almost surely, 2^{25465994072064} is an apocalyptic number.

25465994072064 is a gapful number since it is divisible by the number (24) 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 25465994072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51630381411840).

25465994072064 is an abundant number, since it is smaller than the sum of its proper divisors (77794768751616).

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

25465994072064 is an equidigital number, since it uses as much as digits as its factorization.

25465994072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 25465994072064 in words is "twenty-five trillion, four hundred sixty-five billion, nine hundred ninety-four million, seventy-two thousand, sixty-four".