25422553200 has 240 divisors, whose sum is σ = 92703995136. Its totient is φ = 5895014400.

The previous prime is 25422553199. The next prime is 25422553201. The reversal of 25422553200 is 235522452.

It is an interprime number because it is at equal distance from previous prime (25422553199) and next prime (25422553201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×25422553200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25422553201) by changing a digit.

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, 261732 + ... + 345468.

Almost surely, 2^25422553200 is an apocalyptic number.

25422553200 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 25422553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46351997568).

25422553200 is an abundant number, since it is smaller than the sum of its proper divisors (67281441936).

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

25422553200 is a wasteful number, since it uses less digits than its factorization.

25422553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83792 (or 83781 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 25422553200 in words is "twenty-five billion, four hundred twenty-two million, five hundred fifty-three thousand, two hundred".