65386077120 has 1120 divisors, whose sum is σ = 301537420800. Its totient is φ = 13060694016.

The previous prime is 65386077079. The next prime is 65386077181. The reversal of 65386077120 is 2177068356.

65386077120 is a `hidden beast` number, since 6 + 5 + 38 + 607 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×65386077120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44814951 + ... + 44816409.

It is an arithmetic number, because the mean of its divisors is an integer number (269229840).

Almost surely, 2^65386077120 is an apocalyptic number.

65386077120 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 65386077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150768710400).

65386077120 is an abundant number, since it is smaller than the sum of its proper divisors (236151343680).

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

65386077120 is a wasteful number, since it uses less digits than its factorization.

65386077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 65386077120 in words is "sixty-five billion, three hundred eighty-six million, seventy-seven thousand, one hundred twenty".