652552608153600 has 4320 divisors, whose sum is σ = 3075404708376000. Its totient is φ = 135159349248000.

The previous prime is 652552608153577. The next prime is 652552608153673. The reversal of 652552608153600 is 6351806255256.

652552608153600 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 5 + 26 + 0 + 8 + 1 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2098239897445 + ... + 2098239897755.

It is an arithmetic number, because the mean of its divisors is an integer number (711899238050).

Almost surely, 2^{652552608153600} is an apocalyptic number.

652552608153600 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 652552608153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537702354188000).

652552608153600 is an abundant number, since it is smaller than the sum of its proper divisors (2422852100222400).

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

652552608153600 is an equidigital number, since it uses as much as digits as its factorization.

652552608153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 652552608153600 in words is "six hundred fifty-two trillion, five hundred fifty-two billion, six hundred eight million, one hundred fifty-three thousand, six hundred".