65106874560 has 896 divisors, whose sum is σ = 272008396800. Its totient is φ = 12819824640.

The previous prime is 65106874519. The next prime is 65106874577. The reversal of 65106874560 is 6547860156.

It is a super-2 number, since 2×65106874560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78536226 + ... + 78537054.

It is an arithmetic number, because the mean of its divisors is an integer number (303580800).

Almost surely, 2^65106874560 is an apocalyptic number.

65106874560 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 65106874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136004198400).

65106874560 is an abundant number, since it is smaller than the sum of its proper divisors (206901522240).

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

65106874560 is a wasteful number, since it uses less digits than its factorization.

65106874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 65106874560 in words is "sixty-five billion, one hundred six million, eight hundred seventy-four thousand, five hundred sixty".