252766516800 has 168 divisors, whose sum is σ = 947754198976. Its totient is φ = 57775196160.

The previous prime is 252766516799. The next prime is 252766516831. The reversal of 252766516800 is 8615667252.

It is a happy number.

252766516800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252766516800.

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 23 ways as a sum of consecutive naturals, for example, 3727807 + ... + 3795006.

Almost surely, 2^252766516800 is an apocalyptic number.

252766516800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252766516800 is an abundant number, since it is smaller than the sum of its proper divisors (694987682176).

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

252766516800 is a wasteful number, since it uses less digits than its factorization.

252766516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522845 (or 7522830 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 252766516800 in words is "two hundred fifty-two billion, seven hundred sixty-six million, five hundred sixteen thousand, eight hundred".