65082949200 has 600 divisors, whose sum is σ = 242013319680. Its totient is φ = 16740172800.

The previous prime is 65082949187. The next prime is 65082949229. The reversal of 65082949200 is 294928056.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 120300930 + ... + 120301470.

Almost surely, 2^65082949200 is an apocalyptic number.

65082949200 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 65082949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121006659840).

65082949200 is an abundant number, since it is smaller than the sum of its proper divisors (176930370480).

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

65082949200 is a wasteful number, since it uses less digits than its factorization.

65082949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65082949200 in words is "sixty-five billion, eighty-two million, nine hundred forty-nine thousand, two hundred".