652530816000 has 1760 divisors, whose sum is σ = 2866099222272. Its totient is φ = 145118822400.

The previous prime is 652530815971. The next prime is 652530816029. The reversal of 652530816000 is 618035256.

652530816000 is a `hidden beast` number, since 65 + 2 + 530 + 8 + 1 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (652530815971) and next prime (652530816029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17635967982 + ... + 17635968018.

Almost surely, 2^652530816000 is an apocalyptic number.

652530816000 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 652530816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433049611136).

652530816000 is an abundant number, since it is smaller than the sum of its proper divisors (2213568406272).

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

652530816000 is an frugal number, since it uses more digits than its factorization.

652530816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 652530816000 in words is "six hundred fifty-two billion, five hundred thirty million, eight hundred sixteen thousand".