25350251400 has 192 divisors, whose sum is σ = 90329040000. Its totient is φ = 6526920960.

The previous prime is 25350251323. The next prime is 25350251401. The reversal of 25350251400 is 415205352.

It is a happy number.

25350251400 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 0 + 251 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25350251401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75661 + ... + 237539.

It is an arithmetic number, because the mean of its divisors is an integer number (470463750).

Almost surely, 2^25350251400 is an apocalyptic number.

25350251400 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 25350251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45164520000).

25350251400 is an abundant number, since it is smaller than the sum of its proper divisors (64978788600).

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

25350251400 is a wasteful number, since it uses less digits than its factorization.

25350251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161933 (or 161918 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 25350251400 its reverse (415205352), we get a palindrome (25765456752).

The spelling of 25350251400 in words is "twenty-five billion, three hundred fifty million, two hundred fifty-one thousand, four hundred".