25276565683980 has 1728 divisors, whose sum is σ = 93981368033280. Its totient is φ = 5468708044800.

The previous prime is 25276565683969. The next prime is 25276565683987. The reversal of 25276565683980 is 8938656567252.

25276565683980 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 6 + 56 + 568 + 3 + 9 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25276565683899 and 25276565683908.

It is not an unprimeable number, because it can be changed into a prime (25276565683987) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 60325932211 + ... + 60325932629.

It is an arithmetic number, because the mean of its divisors is an integer number (54387365760).

Almost surely, 2^{25276565683980} is an apocalyptic number.

25276565683980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 5027580×5027581.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25276565683980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46990684016640).

25276565683980 is an abundant number, since it is smaller than the sum of its proper divisors (68704802349300).

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

25276565683980 is a wasteful number, since it uses less digits than its factorization.

25276565683980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 25276565683980 in words is "twenty-five trillion, two hundred seventy-six billion, five hundred sixty-five million, six hundred eighty-three thousand, nine hundred eighty".