52889995720800 has 576 divisors, whose sum is σ = 218780062179840. Its totient is φ = 12079847208960.

The previous prime is 52889995720763. The next prime is 52889995720921. The reversal of 52889995720800 is 802759998825.

52889995720800 is a `hidden beast` number, since 5 + 288 + 9 + 99 + 57 + 208 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 197484582 + ... + 197752218.

It is an arithmetic number, because the mean of its divisors is an integer number (379826496840).

Almost surely, 2^{52889995720800} is an apocalyptic number.

52889995720800 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 52889995720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109390031089920).

52889995720800 is an abundant number, since it is smaller than the sum of its proper divisors (165890066459040).

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

52889995720800 is a wasteful number, since it uses less digits than its factorization.

52889995720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268980 (or 268961 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 52889995720800 in words is "fifty-two trillion, eight hundred eighty-nine billion, nine hundred ninety-five million, seven hundred twenty thousand, eight hundred".