25483790160 has 320 divisors, whose sum is σ = 93808281600. Its totient is φ = 6336258048.

The previous prime is 25483790099. The next prime is 25483790161. The reversal of 25483790160 is 6109738452.

25483790160 is a `hidden beast` number, since 2 + 5 + 483 + 7 + 9 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25483790161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3999297 + ... + 4005663.

It is an arithmetic number, because the mean of its divisors is an integer number (293150880).

It is a 1-persistent number, because it is pandigital, but 2⋅25483790160 = 50967580320 is not.

Almost surely, 2^25483790160 is an apocalyptic number.

25483790160 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 25483790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46904140800).

25483790160 is an abundant number, since it is smaller than the sum of its proper divisors (68324491440).

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

25483790160 is a wasteful number, since it uses less digits than its factorization.

25483790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 25483790160 in words is "twenty-five billion, four hundred eighty-three million, seven hundred ninety thousand, one hundred sixty".