52219734336 has 1008 divisors, whose sum is σ = 202945886208. Its totient is φ = 12666931200.

The previous prime is 52219734331. The next prime is 52219734353. The reversal of 52219734336 is 63343791225.

52219734336 is a `hidden beast` number, since 5 + 22 + 197 + 3 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

Its product of digits (816480) is a multiple of the sum of its prime factors (240).

It is a junction number, because it is equal to n+sod(n) for n = 52219734291 and 52219734300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52219734331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 506987661 + ... + 506987763.

Almost surely, 2^52219734336 is an apocalyptic number.

52219734336 is a gapful number since it is divisible by the number (56) 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 52219734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101472943104).

52219734336 is an abundant number, since it is smaller than the sum of its proper divisors (150726151872).

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

52219734336 is a wasteful number, since it uses less digits than its factorization.

52219734336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 52219734336 in words is "fifty-two billion, two hundred nineteen million, seven hundred thirty-four thousand, three hundred thirty-six".