65055052800 has 660 divisors, whose sum is σ = 243709146780. Its totient is φ = 17146183680.

The previous prime is 65055052789. The next prime is 65055052801. The reversal of 65055052800 is 825055056.

65055052800 is a `hidden beast` number, since 6 + 50 + 550 + 52 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1696121856 + 63358930944 = 41184^2 + 251712^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65055052801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 284083086 + ... + 284083314.

It is an arithmetic number, because the mean of its divisors is an integer number (369256283).

Almost surely, 2^65055052800 is an apocalyptic number.

65055052800 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 65055052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121854573390).

65055052800 is an abundant number, since it is smaller than the sum of its proper divisors (178654093980).

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

65055052800 is a wasteful number, since it uses less digits than its factorization.

65055052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 65055052800 in words is "sixty-five billion, fifty-five million, fifty-two thousand, eight hundred".