652138905600 has 1728 divisors, whose sum is σ = 2985326426880. Its totient is φ = 137594142720.

The previous prime is 652138905577. The next prime is 652138905611. The reversal of 652138905600 is 6509831256.

652138905600 is a `hidden beast` number, since 6 + 5 + 2 + 1 + 3 + 89 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×652138905600² (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 95 ways as a sum of consecutive naturals, for example, 50164531194 + ... + 50164531206.

It is an arithmetic number, because the mean of its divisors is an integer number (1727619460).

Almost surely, 2^652138905600 is an apocalyptic number.

652138905600 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 652138905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492663213440).

652138905600 is an abundant number, since it is smaller than the sum of its proper divisors (2333187521280).

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

652138905600 is an frugal number, since it uses more digits than its factorization.

652138905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 652138905600 in words is "six hundred fifty-two billion, one hundred thirty-eight million, nine hundred five thousand, six hundred".