25647491163840 has 896 divisors, whose sum is σ = 105861910167552. Its totient is φ = 5114970685440.

The previous prime is 25647491163781. The next prime is 25647491163851. The reversal of 25647491163840 is 4836119474652.

It is a super-3 number, since 3×25647491163840³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116340759 + ... + 116561001.

It is an arithmetic number, because the mean of its divisors is an integer number (118149453312).

It is a 2-persistent number, because it is pandigital, and so is 2⋅25647491163840 = 51294982327680, but 3⋅25647491163840 = 76942473491520 is not.

Almost surely, 2^{25647491163840} is an apocalyptic number.

25647491163840 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 25647491163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52930955083776).

25647491163840 is an abundant number, since it is smaller than the sum of its proper divisors (80214419003712).

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

25647491163840 is a wasteful number, since it uses less digits than its factorization.

25647491163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220357 (or 220347 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 25647491163840 in words is "twenty-five trillion, six hundred forty-seven billion, four hundred ninety-one million, one hundred sixty-three thousand, eight hundred forty".