25984696320 has 680 divisors, whose sum is σ = 102770149680. Its totient is φ = 6228541440.

The previous prime is 25984696301. The next prime is 25984696327. The reversal of 25984696320 is 2369648952.

It is a happy number.

25984696320 is a `hidden beast` number, since 2 + 598 + 46 + 9 + 6 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25984696327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291962836 + ... + 291962924.

Almost surely, 2^25984696320 is an apocalyptic number.

25984696320 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 25984696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51385074840).

25984696320 is an abundant number, since it is smaller than the sum of its proper divisors (76785453360).

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

25984696320 is an frugal number, since it uses more digits than its factorization.

25984696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 25984696320 in words is "twenty-five billion, nine hundred eighty-four million, six hundred ninety-six thousand, three hundred twenty".