25042863185640 has 320 divisors, whose sum is σ = 85287830245200. Its totient is φ = 6590072659968.

The previous prime is 25042863185621. The next prime is 25042863185699. The reversal of 25042863185640 is 4658136824052.

25042863185640 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 2 + 8 + 63 + 18 + 564 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16031807792676 + 9011055392964 = 4003974^2 + 3001842^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83692134 + ... + 83990826.

Almost surely, 2^{25042863185640} is an apocalyptic number.

25042863185640 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 25042863185640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42643915122600).

25042863185640 is an abundant number, since it is smaller than the sum of its proper divisors (60244967059560).

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

25042863185640 is a wasteful number, since it uses less digits than its factorization.

25042863185640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299058 (or 299045 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 25042863185640 in words is "twenty-five trillion, forty-two billion, eight hundred sixty-three million, one hundred eighty-five thousand, six hundred forty".