65500254720 has 600 divisors, whose sum is σ = 249441064884. Its totient is φ = 16424239104.

The previous prime is 65500254619. The next prime is 65500254763. The reversal of 65500254720 is 2745200556.

65500254720 is a `hidden beast` number, since 65 + 50 + 0 + 2 + 547 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 62132541696 + 3367713024 = 249264^2 + 58032^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59926494 + ... + 59927586.

Almost surely, 2^65500254720 is an apocalyptic number.

65500254720 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 65500254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124720532442).

65500254720 is an abundant number, since it is smaller than the sum of its proper divisors (183940810164).

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

65500254720 is a wasteful number, since it uses less digits than its factorization.

65500254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 65500254720 in words is "sixty-five billion, five hundred million, two hundred fifty-four thousand, seven hundred twenty".