65925440071680 has 1152 divisors, whose sum is σ = 263342223930240. Its totient is φ = 13987605381120.

The previous prime is 65925440071679. The next prime is 65925440071693. The reversal of 65925440071680 is 8617004452956.

It is a self number, because there is not a number n which added to its sum of digits gives 65925440071680.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1868034835 + ... + 1868070125.

It is an arithmetic number, because the mean of its divisors is an integer number (228595680495).

Almost surely, 2^{65925440071680} is an apocalyptic number.

65925440071680 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 65925440071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131671111965120).

65925440071680 is an abundant number, since it is smaller than the sum of its proper divisors (197416783858560).

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

65925440071680 is a wasteful number, since it uses less digits than its factorization.

65925440071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35425 (or 35398 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 65925440071680 in words is "sixty-five trillion, nine hundred twenty-five billion, four hundred forty million, seventy-one thousand, six hundred eighty".