25228036310400 has 3840 divisors, whose sum is σ = 120591253094400. Its totient is φ = 5041535385600.

The previous prime is 25228036310381. The next prime is 25228036310473. The reversal of 25228036310400 is 401363082252.

25228036310400 is a `hidden beast` number, since 2 + 5 + 2 + 280 + 363 + 10 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 93784521466 + ... + 93784521734.

It is an arithmetic number, because the mean of its divisors is an integer number (31403972160).

Almost surely, 2^{25228036310400} is an apocalyptic number.

25228036310400 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 25228036310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60295626547200).

25228036310400 is an abundant number, since it is smaller than the sum of its proper divisors (95363216784000).

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

25228036310400 is a wasteful number, since it uses less digits than its factorization.

25228036310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 25228036310400 its reverse (401363082252), we get a palindrome (25629399392652).

The spelling of 25228036310400 in words is "twenty-five trillion, two hundred twenty-eight billion, thirty-six million, three hundred ten thousand, four hundred".