25780589936640 has 3840 divisors, whose sum is σ = 124657621401600. Its totient is φ = 4892236185600.

The previous prime is 25780589936639. The next prime is 25780589936641. The reversal of 25780589936640 is 4663998508752.

It is a happy number.

25780589936640 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 0 + 589 + 9 + 36 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25780589936639) and next prime (25780589936641).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25780589936641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 100313579392 + ... + 100313579648.

It is an arithmetic number, because the mean of its divisors is an integer number (32462922240).

Almost surely, 2^{25780589936640} is an apocalyptic number.

25780589936640 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 25780589936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62328810700800).

25780589936640 is an abundant number, since it is smaller than the sum of its proper divisors (98877031464960).

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

25780589936640 is a wasteful number, since it uses less digits than its factorization.

25780589936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 25780589936640 in words is "twenty-five trillion, seven hundred eighty billion, five hundred eighty-nine million, nine hundred thirty-six thousand, six hundred forty".