52796620800 has 1536 divisors, whose sum is σ = 249641164800. Its totient is φ = 10616832000.

The previous prime is 52796620777. The next prime is 52796620817. The reversal of 52796620800 is 802669725.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1703116785 + ... + 1703116815.

It is an arithmetic number, because the mean of its divisors is an integer number (162526800).

Almost surely, 2^52796620800 is an apocalyptic number.

52796620800 is a gapful number since it is divisible by the number (50) 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 52796620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124820582400).

52796620800 is an abundant number, since it is smaller than the sum of its proper divisors (196844544000).

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

52796620800 is a wasteful number, since it uses less digits than its factorization.

52796620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 52796620800 in words is "fifty-two billion, seven hundred ninety-six million, six hundred twenty thousand, eight hundred".