25754820480 has 512 divisors, whose sum is σ = 97985116800. Its totient is φ = 6370099200.

The previous prime is 25754820449. The next prime is 25754820517. The reversal of 25754820480 is 8402845752.

25754820480 is a `hidden beast` number, since 2 + 5 + 7 + 548 + 20 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21443880 + ... + 21445080.

Almost surely, 2^25754820480 is an apocalyptic number.

25754820480 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 25754820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48992558400).

25754820480 is an abundant number, since it is smaller than the sum of its proper divisors (72230296320).

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

25754820480 is a wasteful number, since it uses less digits than its factorization.

25754820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 25754820480 in words is "twenty-five billion, seven hundred fifty-four million, eight hundred twenty thousand, four hundred eighty".