25382322000 has 640 divisors, whose sum is σ = 105324211200. Its totient is φ = 5794675200.

The previous prime is 25382321969. The next prime is 25382322001. The reversal of 25382322000 is 22328352.

It is a super-2 number, since 2×25382322000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25382322001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30617586 + ... + 30618414.

It is an arithmetic number, because the mean of its divisors is an integer number (164569080).

Almost surely, 2^25382322000 is an apocalyptic number.

25382322000 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 25382322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52662105600).

25382322000 is an abundant number, since it is smaller than the sum of its proper divisors (79941889200).

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

25382322000 is an frugal number, since it uses more digits than its factorization.

25382322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 25382322000 in words is "twenty-five billion, three hundred eighty-two million, three hundred twenty-two thousand".