65875680000 has 1800 divisors, whose sum is σ = 292057986528. Its totient is φ = 14598144000.

The previous prime is 65875679981. The next prime is 65875680019. The reversal of 65875680000 is 8657856.

65875680000 is a `hidden beast` number, since 6 + 5 + 87 + 568 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65875679981) and next prime (65875680019).

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-3 number, since 3×65875680000³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2864159989 + ... + 2864160011.

Almost surely, 2^65875680000 is an apocalyptic number.

65875680000 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 65875680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146028993264).

65875680000 is an abundant number, since it is smaller than the sum of its proper divisors (226182306528).

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

65875680000 is a wasteful number, since it uses less digits than its factorization.

65875680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 65875680000 in words is "sixty-five billion, eight hundred seventy-five million, six hundred eighty thousand".