65518225920 has 640 divisors, whose sum is σ = 280010649600. Its totient is φ = 14185414656.

The previous prime is 65518225859. The next prime is 65518225933. The reversal of 65518225920 is 2952281556.

65518225920 is a `hidden beast` number, since 6 + 5 + 51 + 8 + 2 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9189397 + ... + 9196523.

It is an arithmetic number, because the mean of its divisors is an integer number (437516640).

Almost surely, 2^65518225920 is an apocalyptic number.

65518225920 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 65518225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140005324800).

65518225920 is an abundant number, since it is smaller than the sum of its proper divisors (214492423680).

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

65518225920 is a wasteful number, since it uses less digits than its factorization.

65518225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 65518225920 in words is "sixty-five billion, five hundred eighteen million, two hundred twenty-five thousand, nine hundred twenty".