65405983020 has 288 divisors, whose sum is σ = 224602398720. Its totient is φ = 14158932480.

The previous prime is 65405983001. The next prime is 65405983037. The reversal of 65405983020 is 2038950456.

It is a super-2 number, since 2×65405983020² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4275946 + ... + 4291214.

It is an arithmetic number, because the mean of its divisors is an integer number (779869440).

Almost surely, 2^65405983020 is an apocalyptic number.

65405983020 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 65405983020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112301199360).

65405983020 is an abundant number, since it is smaller than the sum of its proper divisors (159196415700).

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

65405983020 is a wasteful number, since it uses less digits than its factorization.

65405983020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15373 (or 15364 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 65405983020 in words is "sixty-five billion, four hundred five million, nine hundred eighty-three thousand, twenty".