64855365120 has 1200 divisors, whose sum is σ = 291595117968. Its totient is φ = 13655900160.

The previous prime is 64855365119. The next prime is 64855365151. The reversal of 64855365120 is 2156355846.

64855365120 is a `hidden beast` number, since 6 + 4 + 85 + 53 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×64855365120² (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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 132088075 + ... + 132088565.

Almost surely, 2^64855365120 is an apocalyptic number.

64855365120 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 64855365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145797558984).

64855365120 is an abundant number, since it is smaller than the sum of its proper divisors (226739752848).

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

64855365120 is a wasteful number, since it uses less digits than its factorization.

64855365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 64855365120 in words is "sixty-four billion, eight hundred fifty-five million, three hundred sixty-five thousand, one hundred twenty".