65896406400 has 1152 divisors, whose sum is σ = 261613255680. Its totient is φ = 14508032000.

The previous prime is 65896406371. The next prime is 65896406503. The reversal of 65896406400 is 460469856.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 65896406400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 928118365 + ... + 928118435.

It is an arithmetic number, because the mean of its divisors is an integer number (227094840).

Almost surely, 2^65896406400 is an apocalyptic number.

65896406400 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 65896406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130806627840).

65896406400 is an abundant number, since it is smaller than the sum of its proper divisors (195716849280).

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

65896406400 is a wasteful number, since it uses less digits than its factorization.

65896406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 65896406400 in words is "sixty-five billion, eight hundred ninety-six million, four hundred six thousand, four hundred".