659252805120 has 3200 divisors, whose sum is σ = 3194195558400. Its totient is φ = 128755630080.

The previous prime is 659252805053. The next prime is 659252805139. The reversal of 659252805120 is 21508252956.

659252805120 is a `hidden beast` number, since 6 + 5 + 9 + 2 + 52 + 80 + 512 + 0 = 666.

659252805120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×659252805120² (a number of 24 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 319 ways as a sum of consecutive naturals, for example, 21266219505 + ... + 21266219535.

It is an arithmetic number, because the mean of its divisors is an integer number (998186112).

Almost surely, 2^659252805120 is an apocalyptic number.

659252805120 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 659252805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597097779200).

659252805120 is an abundant number, since it is smaller than the sum of its proper divisors (2534942753280).

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

659252805120 is a wasteful number, since it uses less digits than its factorization.

659252805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

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

The spelling of 659252805120 in words is "six hundred fifty-nine billion, two hundred fifty-two million, eight hundred five thousand, one hundred twenty".