65952506880 has 660 divisors, whose sum is σ = 256186627092. Its totient is φ = 16217210880.

The previous prime is 65952506827. The next prime is 65952506891. The reversal of 65952506880 is 8860525956.

65952506880 is a `hidden beast` number, since 6 + 5 + 9 + 52 + 506 + 8 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10044850176 + 55907656704 = 100224^2 + 236448^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 70087210 + ... + 70088150.

Almost surely, 2^65952506880 is an apocalyptic number.

65952506880 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 65952506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128093313546).

65952506880 is an abundant number, since it is smaller than the sum of its proper divisors (190234120212).

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

65952506880 is a wasteful number, since it uses less digits than its factorization.

65952506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 65952506880 in words is "sixty-five billion, nine hundred fifty-two million, five hundred six thousand, eight hundred eighty".