52800293308896 has 144 divisors (see below), whose sum is σ = 179143852441680. Its totient is φ = 15085798076160.

The previous prime is 52800293308799. The next prime is 52800293308901. The reversal of 52800293308896 is 69880339200825.

52800293308896 is a `hidden beast` number, since 528 + 0 + 0 + 29 + 3 + 3 + 0 + 8 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623543895 + ... + 623628566.

It is an arithmetic number, because the mean of its divisors is an integer number (1244054530845).

Almost surely, 2^{52800293308896} is an apocalyptic number.

52800293308896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

52800293308896 is an abundant number, since it is smaller than the sum of its proper divisors (126343559132784).

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

52800293308896 is a wasteful number, since it uses less digits than its factorization.

52800293308896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247172494 (or 1247172473 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 52800293308896 in words is "fifty-two trillion, eight hundred billion, two hundred ninety-three million, three hundred eight thousand, eight hundred ninety-six".