65625424800000 has 864 divisors, whose sum is σ = 235438273236096. Its totient is φ = 16130949120000.

The previous prime is 65625424799999. The next prime is 65625424800017. The reversal of 65625424800000 is 842452656.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35037599064 + ... + 35037600936.

Almost surely, 2^{65625424800000} is an apocalyptic number.

65625424800000 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 65625424800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117719136618048).

65625424800000 is an abundant number, since it is smaller than the sum of its proper divisors (169812848436096).

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

65625424800000 is a wasteful number, since it uses less digits than its factorization.

65625424800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 65625424800000 in words is "sixty-five trillion, six hundred twenty-five billion, four hundred twenty-four million, eight hundred thousand".