25725485280 has 576 divisors, whose sum is σ = 98124784128. Its totient is φ = 5606768640.

The previous prime is 25725485231. The next prime is 25725485281. The reversal of 25725485280 is 8258452752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25725485281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35095794 + ... + 35096526.

It is an arithmetic number, because the mean of its divisors is an integer number (170355528).

Almost surely, 2^25725485280 is an apocalyptic number.

25725485280 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 25725485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49062392064).

25725485280 is an abundant number, since it is smaller than the sum of its proper divisors (72399298848).

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

25725485280 is a wasteful number, since it uses less digits than its factorization.

25725485280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 25725485280 in words is "twenty-five billion, seven hundred twenty-five million, four hundred eighty-five thousand, two hundred eighty".