25772928480 has 288 divisors, whose sum is σ = 99701915040. Its totient is φ = 6010122240.

The previous prime is 25772928473. The next prime is 25772928481. The reversal of 25772928480 is 8482927752.

25772928480 is a `hidden beast` number, since 2 + 5 + 7 + 72 + 92 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×25772928480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25772928481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319450 + ... + 391910.

It is an arithmetic number, because the mean of its divisors is an integer number (346187205).

Almost surely, 2^25772928480 is an apocalyptic number.

25772928480 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 25772928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49850957520).

25772928480 is an abundant number, since it is smaller than the sum of its proper divisors (73928986560).

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

25772928480 is a wasteful number, since it uses less digits than its factorization.

25772928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72514 (or 72503 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 25772928480 in words is "twenty-five billion, seven hundred seventy-two million, nine hundred twenty-eight thousand, four hundred eighty".