65077755120 has 240 divisors, whose sum is σ = 255867498432. Its totient is φ = 14512066560.

The previous prime is 65077755107. The next prime is 65077755143. The reversal of 65077755120 is 2155777056.

It is a happy number.

65077755120 is a `hidden beast` number, since 6 + 5 + 0 + 7 + 77 + 551 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×65077755120² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49174 + ... + 364106.

Almost surely, 2^65077755120 is an apocalyptic number.

65077755120 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 65077755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127933749216).

65077755120 is an abundant number, since it is smaller than the sum of its proper divisors (190789743312).

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

65077755120 is a wasteful number, since it uses less digits than its factorization.

65077755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315000 (or 314991 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 65077755120 in words is "sixty-five billion, seventy-seven million, seven hundred fifty-five thousand, one hundred twenty".