25632514455000 has 640 divisors, whose sum is σ = 85171896268800. Its totient is φ = 6416755200000.

The previous prime is 25632514454999. The next prime is 25632514455001. The reversal of 25632514455000 is 55441523652.

It is an interprime number because it is at equal distance from previous prime (25632514454999) and next prime (25632514455001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25632514455001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2070638811 + ... + 2070651189.

It is an arithmetic number, because the mean of its divisors is an integer number (133081087920).

Almost surely, 2^{25632514455000} is an apocalyptic number.

25632514455000 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 25632514455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42585948134400).

25632514455000 is an abundant number, since it is smaller than the sum of its proper divisors (59539381813800).

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

25632514455000 is a wasteful number, since it uses less digits than its factorization.

25632514455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12573 (or 12554 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

Adding to 25632514455000 its reverse (55441523652), we get a palindrome (25687955978652).

The spelling of 25632514455000 in words is "twenty-five trillion, six hundred thirty-two billion, five hundred fourteen million, four hundred fifty-five thousand".