52819193733120 has 560 divisors, whose sum is σ = 189474484870440. Its totient is φ = 14076234694656.

The previous prime is 52819193733113. The next prime is 52819193733169. The reversal of 52819193733120 is 2133739191825.

It is a happy number.

52819193733120 is a `hidden beast` number, since 5 + 281 + 9 + 1 + 9 + 3 + 7 + 331 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16178157195264 + 36641036537856 = 4022208^2 + 6053184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6545936446 + ... + 6545944514.

Almost surely, 2^{52819193733120} 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 52819193733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94737242435220).

52819193733120 is an abundant number, since it is smaller than the sum of its proper divisors (136655291137320).

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

52819193733120 is an equidigital number, since it uses as much as digits as its factorization.

52819193733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10085 (or 10052 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 52819193733120 in words is "fifty-two trillion, eight hundred nineteen billion, one hundred ninety-three million, seven hundred thirty-three thousand, one hundred twenty".