65982752000 has 216 divisors, whose sum is σ = 180683169576. Its totient is φ = 23992320000.

The previous prime is 65982751993. The next prime is 65982752039. The reversal of 65982752000 is 25728956.

It can be written as a sum of positive squares in 4 ways, for example, as 44729344 + 65938022656 = 6688^2 + 256784^2 .

It is a super-2 number, since 2×65982752000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3863480 + ... + 3880520.

Almost surely, 2^65982752000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65982752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90341584788).

65982752000 is an abundant number, since it is smaller than the sum of its proper divisors (114700417576).

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

65982752000 is a wasteful number, since it uses less digits than its factorization.

65982752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17094 (or 17059 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 65982752000 in words is "sixty-five billion, nine hundred eighty-two million, seven hundred fifty-two thousand".