52719271266816 has 1920 divisors, whose sum is σ = 202612311982080. Its totient is φ = 12792110284800.

The previous prime is 52719271266707. The next prime is 52719271266841. The reversal of 52719271266816 is 61866217291725.

It is a happy number.

52719271266816 is a `hidden beast` number, since 5 + 27 + 1 + 9 + 271 + 266 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107371224331 + ... + 107371224821.

It is an arithmetic number, because the mean of its divisors is an integer number (105527245824).

Almost surely, 2^{52719271266816} is an apocalyptic number.

52719271266816 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 52719271266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101306155991040).

52719271266816 is an abundant number, since it is smaller than the sum of its proper divisors (149893040715264).

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

52719271266816 is a wasteful number, since it uses less digits than its factorization.

52719271266816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 819 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 52719271266816 in words is "fifty-two trillion, seven hundred nineteen billion, two hundred seventy-one million, two hundred sixty-six thousand, eight hundred sixteen".