25766292838680 has 192 divisors, whose sum is σ = 88161452870400. Its totient is φ = 6508374278400.

The previous prime is 25766292838619. The next prime is 25766292838697. The reversal of 25766292838680 is 8683829266752.

25766292838680 is a `hidden beast` number, since 2 + 57 + 66 + 292 + 83 + 86 + 80 = 666.

It is a super-2 number, since 2×25766292838680² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 25766292838599 and 25766292838608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44521327 + ... + 45096353.

It is an arithmetic number, because the mean of its divisors is an integer number (459174233700).

Almost surely, 2^{25766292838680} is an apocalyptic number.

25766292838680 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 25766292838680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44080726435200).

25766292838680 is an abundant number, since it is smaller than the sum of its proper divisors (62395160031720).

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

25766292838680 is a wasteful number, since it uses less digits than its factorization.

25766292838680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581614 (or 581607 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 25766292838680 in words is "twenty-five trillion, seven hundred sixty-six billion, two hundred ninety-two million, eight hundred thirty-eight thousand, six hundred eighty".