25567809490944 has 624 divisors, whose sum is σ = 90549122401920. Its totient is φ = 7053133086720.

The previous prime is 25567809490901. The next prime is 25567809490963. The reversal of 25567809490944 is 44909490876552.

25567809490944 is a `hidden beast` number, since 2 + 5 + 56 + 7 + 80 + 9 + 490 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×25567809490944² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201988314 + ... + 202114854.

It is an arithmetic number, because the mean of its divisors is an integer number (145110773080).

Almost surely, 2^{25567809490944} is an apocalyptic number.

25567809490944 is a gapful number since it is divisible by the number (24) 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 25567809490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45274561200960).

25567809490944 is an abundant number, since it is smaller than the sum of its proper divisors (64981312910976).

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

25567809490944 is an equidigital number, since it uses as much as digits as its factorization.

25567809490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126616 (or 126582 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 25567809490944 in words is "twenty-five trillion, five hundred sixty-seven billion, eight hundred nine million, four hundred ninety thousand, nine hundred forty-four".