25405413000 has 256 divisors, whose sum is σ = 91024128000. Its totient is φ = 5834592000.

The previous prime is 25405412957. The next prime is 25405413091. The reversal of 25405413000 is 31450452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606741 + ... + 647259.

It is an arithmetic number, because the mean of its divisors is an integer number (355563000).

Almost surely, 2^25405413000 is an apocalyptic number.

25405413000 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 25405413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45512064000).

25405413000 is an abundant number, since it is smaller than the sum of its proper divisors (65618715000).

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

25405413000 is a wasteful number, since it uses less digits than its factorization.

25405413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40573 (or 40559 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 25405413000 its reverse (31450452), we get a palindrome (25436863452).

The spelling of 25405413000 in words is "twenty-five billion, four hundred five million, four hundred thirteen thousand".