25643520000000 has 2048 divisors, whose sum is σ = 110590029388800. Its totient is φ = 5750784000000.

The previous prime is 25643519999971. The next prime is 25643520000029. The reversal of 25643520000000 is 2534652.

25643520000000 is a `hidden beast` number, since 25 + 6 + 435 + 200 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25643519999971) and next prime (25643520000029).

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 483839999974 + ... + 483840000026.

Almost surely, 2^{25643520000000} is an apocalyptic number.

25643520000000 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 25643520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55295014694400).

25643520000000 is an abundant number, since it is smaller than the sum of its proper divisors (84946509388800).

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

25643520000000 is an frugal number, since it uses more digits than its factorization.

25643520000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 25643520000000 its reverse (2534652), we get a palindrome (25643522534652).

The spelling of 25643520000000 in words is "twenty-five trillion, six hundred forty-three billion, five hundred twenty million", and thus it is an aban number.