25419484800 has 480 divisors, whose sum is σ = 94407043500. Its totient is φ = 6735052800.

The previous prime is 25419484789. The next prime is 25419484801. The reversal of 25419484800 is 848491452.

It can be written as a sum of positive squares in 6 ways, for example, as 14474977344 + 10944507456 = 120312^2 + 104616^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (25419484801) 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 59 ways as a sum of consecutive naturals, for example, 72835026 + ... + 72835374.

Almost surely, 2^25419484800 is an apocalyptic number.

25419484800 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 25419484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47203521750).

25419484800 is an abundant number, since it is smaller than the sum of its proper divisors (68987558700).

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

25419484800 is a wasteful number, since it uses less digits than its factorization.

25419484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 25419484800 in words is "twenty-five billion, four hundred nineteen million, four hundred eighty-four thousand, eight hundred".