65201126400 has 198 divisors, whose sum is σ = 233451703472. Its totient is φ = 17386905600.

The previous prime is 65201126369. The next prime is 65201126401. The reversal of 65201126400 is 462110256.

65201126400 is a `hidden beast` number, since 6 + 5 + 2 + 0 + 1 + 12 + 640 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65201126401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88905 + ... + 371895.

Almost surely, 2^65201126400 is an apocalyptic number.

65201126400 is a gapful number since it is divisible by the number (60) 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 65201126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116725851736).

65201126400 is an abundant number, since it is smaller than the sum of its proper divisors (168250577072).

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

65201126400 is a wasteful number, since it uses less digits than its factorization.

65201126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283027 (or 283001 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 65201126400 its reverse (462110256), we get a palindrome (65663236656).

The spelling of 65201126400 in words is "sixty-five billion, two hundred one million, one hundred twenty-six thousand, four hundred".