52971986348424 has 1344 divisors, whose sum is σ = 187091996313600. Its totient is φ = 13921127700480.

The previous prime is 52971986348377. The next prime is 52971986348431. The reversal of 52971986348424 is 42484368917925.

52971986348424 is a `hidden beast` number, since 5 + 2 + 9 + 7 + 198 + 6 + 3 + 4 + 8 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22136223772 + ... + 22136226164.

It is an arithmetic number, because the mean of its divisors is an integer number (139205354400).

Almost surely, 2^{52971986348424} is an apocalyptic number.

52971986348424 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 52971986348424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93545998156800).

52971986348424 is an abundant number, since it is smaller than the sum of its proper divisors (134120009965176).

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

52971986348424 is a wasteful number, since it uses less digits than its factorization.

52971986348424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2568 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 52971986348424 in words is "fifty-two trillion, nine hundred seventy-one billion, nine hundred eighty-six million, three hundred forty-eight thousand, four hundred twenty-four".