652879180800 has 3168 divisors, whose sum is σ = 3193115627520. Its totient is φ = 128198246400.

The previous prime is 652879180741. The next prime is 652879180853. The reversal of 652879180800 is 8081978256.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13891046377 + ... + 13891046423.

Almost surely, 2^652879180800 is an apocalyptic number.

652879180800 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 652879180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596557813760).

652879180800 is an abundant number, since it is smaller than the sum of its proper divisors (2540236446720).

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

652879180800 is a wasteful number, since it uses less digits than its factorization.

652879180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 652879180800 in words is "six hundred fifty-two billion, eight hundred seventy-nine million, one hundred eighty thousand, eight hundred".