52813280853120 has 256 divisors, whose sum is σ = 168802838784000. Its totient is φ = 14045067079680.

The previous prime is 52813280853119. The next prime is 52813280853131. The reversal of 52813280853120 is 2135808231825.

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 52813280853120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082680891 + ... + 1082729669.

It is an arithmetic number, because the mean of its divisors is an integer number (659386089000).

Almost surely, 2^{52813280853120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52813280853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84401419392000).

52813280853120 is an abundant number, since it is smaller than the sum of its proper divisors (115989557930880).

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

52813280853120 is a wasteful number, since it uses less digits than its factorization.

52813280853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50331 (or 50319 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 52813280853120 in words is "fifty-two trillion, eight hundred thirteen billion, two hundred eighty million, eight hundred fifty-three thousand, one hundred twenty".