25431470400 has 252 divisors, whose sum is σ = 97059585408. Its totient is φ = 5812853760.

The previous prime is 25431470381. The next prime is 25431470401. The reversal of 25431470400 is 407413452.

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 (25431470401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181137 + ... + 289263.

Almost surely, 2^25431470400 is an apocalyptic number.

25431470400 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 25431470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48529792704).

25431470400 is an abundant number, since it is smaller than the sum of its proper divisors (71628115008).

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

25431470400 is a wasteful number, since it uses less digits than its factorization.

25431470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108166 (or 108144 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 25431470400 its reverse (407413452), we get a palindrome (25838883852).

The spelling of 25431470400 in words is "twenty-five billion, four hundred thirty-one million, four hundred seventy thousand, four hundred".