65082124800 has 2160 divisors, whose sum is σ = 315831035520. Its totient is φ = 12489523200.

The previous prime is 65082124787. The next prime is 65082124801. The reversal of 65082124800 is 842128056.

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

It is not an unprimeable number, because it can be changed into a prime (65082124801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2244211186 + ... + 2244211214.

It is an arithmetic number, because the mean of its divisors is an integer number (146218072).

Almost surely, 2^65082124800 is an apocalyptic number.

65082124800 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 65082124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157915517760).

65082124800 is an abundant number, since it is smaller than the sum of its proper divisors (250748910720).

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

65082124800 is a wasteful number, since it uses less digits than its factorization.

65082124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 65082124800 in words is "sixty-five billion, eighty-two million, one hundred twenty-four thousand, eight hundred".