65541248010 has 672 divisors, whose sum is σ = 223817090112. Its totient is φ = 13716864000.

The previous prime is 65541248009. The next prime is 65541248023. The reversal of 65541248010 is 1084214556.

It is a happy number.

65541248010 is a `hidden beast` number, since 6 + 5 + 541 + 24 + 80 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 261120385 + ... + 261120635.

It is an arithmetic number, because the mean of its divisors is an integer number (333061146).

Almost surely, 2^65541248010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65541248010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111908545056).

65541248010 is an abundant number, since it is smaller than the sum of its proper divisors (158275842102).

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

65541248010 is a wasteful number, since it uses less digits than its factorization.

65541248010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 65541248010 in words is "sixty-five billion, five hundred forty-one million, two hundred forty-eight thousand, ten".