25765377140880 has 640 divisors, whose sum is σ = 98968915584000. Its totient is φ = 6117409751040.

The previous prime is 25765377140827. The next prime is 25765377140887. The reversal of 25765377140880 is 8804177356752.

It is a happy number.

25765377140880 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 537 + 7 + 14 + 0 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (25765377140887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 839548576 + ... + 839579264.

It is an arithmetic number, because the mean of its divisors is an integer number (154638930600).

Almost surely, 2^{25765377140880} is an apocalyptic number.

25765377140880 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 25765377140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49484457792000).

25765377140880 is an abundant number, since it is smaller than the sum of its proper divisors (73203538443120).

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

25765377140880 is a wasteful number, since it uses less digits than its factorization.

25765377140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31784 (or 31772 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 25765377140880 in words is "twenty-five trillion, seven hundred sixty-five billion, three hundred seventy-seven million, one hundred forty thousand, eight hundred eighty".