652352103936000 has 1248 divisors, whose sum is σ = 2614259396636160. Its totient is φ = 155398569984000.

The previous prime is 652352103935977. The next prime is 652352103936007. The reversal of 652352103936000 is 639301253256.

It is a happy number.

652352103936000 is a `hidden beast` number, since 6 + 5 + 2 + 3 + 5 + 2 + 1 + 0 + 39 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652352103936007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1856848356 + ... + 1857199644.

It is an arithmetic number, because the mean of its divisors is an integer number (2094759131920).

Almost surely, 2^{652352103936000} is an apocalyptic number.

652352103936000 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 652352103936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307129698318080).

652352103936000 is an abundant number, since it is smaller than the sum of its proper divisors (1961907292700160).

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

652352103936000 is a wasteful number, since it uses less digits than its factorization.

652352103936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351378 (or 351343 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 652352103936000 in words is "six hundred fifty-two trillion, three hundred fifty-two billion, one hundred three million, nine hundred thirty-six thousand".