25772137649280 has 640 divisors, whose sum is σ = 102540313877760. Its totient is φ = 6114852864000.

The previous prime is 25772137649189. The next prime is 25772137649339. The reversal of 25772137649280 is 8294673127752.

It is a happy number.

25772137649280 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 2 + 137 + 6 + 492 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26320480 + ... + 27282080.

It is an arithmetic number, because the mean of its divisors is an integer number (160219240434).

It is a 1-persistent number, because it is pandigital, but 2⋅25772137649280 = 51544275298560 is not.

Almost surely, 2^{25772137649280} is an apocalyptic number.

25772137649280 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 25772137649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51270156938880).

25772137649280 is an abundant number, since it is smaller than the sum of its proper divisors (76768176228480).

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

25772137649280 is a wasteful number, since it uses less digits than its factorization.

25772137649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961690 (or 961669 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 25772137649280 in words is "twenty-five trillion, seven hundred seventy-two billion, one hundred thirty-seven million, six hundred forty-nine thousand, two hundred eighty".