25004150400 has 384 divisors, whose sum is σ = 84897423360. Its totient is φ = 6465024000.

The previous prime is 25004150383. The next prime is 25004150417. The reversal of 25004150400 is 405140052.

It is an interprime number because it is at equal distance from previous prime (25004150383) and next prime (25004150417).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68131017 + ... + 68131383.

It is an arithmetic number, because the mean of its divisors is an integer number (221087040).

Almost surely, 2^25004150400 is an apocalyptic number.

25004150400 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 25004150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42448711680).

25004150400 is an abundant number, since it is smaller than the sum of its proper divisors (59893272960).

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

25004150400 is a wasteful number, since it uses less digits than its factorization.

25004150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 25004150400 its reverse (405140052), we get a palindrome (25409290452).

The spelling of 25004150400 in words is "twenty-five billion, four million, one hundred fifty thousand, four hundred".