25683676269804 has 288 divisors, whose sum is σ = 81805730872320. Its totient is φ = 6886702487808.

The previous prime is 25683676269737. The next prime is 25683676269821. The reversal of 25683676269804 is 40896267638652.

25683676269804 is a `hidden beast` number, since 2 + 568 + 36 + 7 + 6 + 26 + 9 + 8 + 0 + 4 = 666.

It is a super-2 number, since 2×25683676269804² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6745762 + ... + 9842390.

It is an arithmetic number, because the mean of its divisors is an integer number (284047676640).

Almost surely, 2^{25683676269804} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25683676269804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40902865436160).

25683676269804 is an abundant number, since it is smaller than the sum of its proper divisors (56122054602516).

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

25683676269804 is a wasteful number, since it uses less digits than its factorization.

25683676269804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096731 (or 3096717 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 25683676269804 in words is "twenty-five trillion, six hundred eighty-three billion, six hundred seventy-six million, two hundred sixty-nine thousand, eight hundred four".