65774575109880 has 640 divisors, whose sum is σ = 275371446873600. Its totient is φ = 13710506093568.

The previous prime is 65774575109879. The next prime is 65774575109911. The reversal of 65774575109880 is 8890157547756.

65774575109880 is a `hidden beast` number, since 6 + 5 + 7 + 7 + 457 + 5 + 1 + 0 + 98 + 80 = 666.

It is a super-2 number, since 2×65774575109880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 65774575109799 and 65774575109808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23127831 + ... + 25815609.

It is an arithmetic number, because the mean of its divisors is an integer number (430267885740).

Almost surely, 2^{65774575109880} is an apocalyptic number.

65774575109880 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 65774575109880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137685723436800).

65774575109880 is an abundant number, since it is smaller than the sum of its proper divisors (209596871763720).

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

65774575109880 is a wasteful number, since it uses less digits than its factorization.

65774575109880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687905 (or 2687892 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 72.

The spelling of 65774575109880 in words is "sixty-five trillion, seven hundred seventy-four billion, five hundred seventy-five million, one hundred nine thousand, eight hundred eighty".