25780334580 has 576 divisors, whose sum is σ = 105670656000. Its totient is φ = 4913187840.

The previous prime is 25780334551. The next prime is 25780334581. The reversal of 25780334580 is 8543308752.

25780334580 is a `hidden beast` number, since 2 + 578 + 0 + 33 + 45 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25780334581) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35855461 + ... + 35856179.

It is an arithmetic number, because the mean of its divisors is an integer number (183456000).

Almost surely, 2^25780334580 is an apocalyptic number.

25780334580 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 25780334580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328000).

25780334580 is an abundant number, since it is smaller than the sum of its proper divisors (79890321420).

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

25780334580 is a wasteful number, since it uses less digits than its factorization.

25780334580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 25780334580 in words is "twenty-five billion, seven hundred eighty million, three hundred thirty-four thousand, five hundred eighty".