25787183079168 has 1296 divisors, whose sum is σ = 95369256964800. Its totient is φ = 6931734921216.

The previous prime is 25787183079157. The next prime is 25787183079181. The reversal of 25787183079168 is 86197038178752.

It is a happy number.

25787183079168 is a `hidden beast` number, since 2 + 578 + 7 + 1 + 8 + 30 + 7 + 9 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×25787183079168² (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 = 25787183079096 and 25787183079105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9793839580 + ... + 9793842212.

Almost surely, 2^{25787183079168} is an apocalyptic number.

25787183079168 is a gapful number since it is divisible by the number (28) 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 25787183079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47684628482400).

25787183079168 is an abundant number, since it is smaller than the sum of its proper divisors (69582073885632).

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

25787183079168 is an frugal number, since it uses more digits than its factorization.

25787183079168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 25787183079168 in words is "twenty-five trillion, seven hundred eighty-seven billion, one hundred eighty-three million, seventy-nine thousand, one hundred sixty-eight".