52419106934784 has 208 divisors, whose sum is σ = 156482428808640. Its totient is φ = 17339648901120.

The previous prime is 52419106934669. The next prime is 52419106934809. The reversal of 52419106934784 is 48743960191425.

52419106934784 is a `hidden beast` number, since 5 + 2 + 419 + 10 + 6 + 93 + 47 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12678444 + ... + 16296660.

It is a 1-persistent number, because it is pandigital, but 2⋅52419106934784 = 104838213869568 is not.

Almost surely, 2^{52419106934784} is an apocalyptic number.

52419106934784 is a gapful number since it is divisible by the number (54) 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 52419106934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78241214404320).

52419106934784 is an abundant number, since it is smaller than the sum of its proper divisors (104063321873856).

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

52419106934784 is a wasteful number, since it uses less digits than its factorization.

52419106934784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618381 (or 3618353 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 52419106934784 in words is "fifty-two trillion, four hundred nineteen billion, one hundred six million, nine hundred thirty-four thousand, seven hundred eighty-four".