65514785952 has 864 divisors, whose sum is σ = 234751426560. Its totient is φ = 15913497600.

The previous prime is 65514785927. The next prime is 65514785957. The reversal of 65514785952 is 25958741556.

Its product of digits (15120000) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 65514785892 and 65514785901.

It is not an unprimeable number, because it can be changed into a prime (65514785957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 829301049 + ... + 829301127.

It is an arithmetic number, because the mean of its divisors is an integer number (271703040).

Almost surely, 2^65514785952 is an apocalyptic number.

65514785952 is a gapful number since it is divisible by the number (62) 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 65514785952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117375713280).

65514785952 is an abundant number, since it is smaller than the sum of its proper divisors (169236640608).

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

65514785952 is a wasteful number, since it uses less digits than its factorization.

65514785952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 57.

The spelling of 65514785952 in words is "sixty-five billion, five hundred fourteen million, seven hundred eighty-five thousand, nine hundred fifty-two".