65103796800 has 504 divisors, whose sum is σ = 265790712512. Its totient is φ = 14805504000.

The previous prime is 65103796789. The next prime is 65103796889. The reversal of 65103796800 is 869730156.

It is a happy number.

65103796800 is a `hidden beast` number, since 6 + 510 + 3 + 79 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×65103796800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21267270 + ... + 21270330.

Almost surely, 2^65103796800 is an apocalyptic number.

65103796800 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 65103796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132895356256).

65103796800 is an abundant number, since it is smaller than the sum of its proper divisors (200686915712).

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

65103796800 is a wasteful number, since it uses less digits than its factorization.

65103796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 65103796800 in words is "sixty-five billion, one hundred three million, seven hundred ninety-six thousand, eight hundred".