52688379744 has 864 divisors, whose sum is σ = 212569733376. Its totient is φ = 12619514880.

The previous prime is 52688379739. The next prime is 52688379767. The reversal of 52688379744 is 44797388625.

52688379744 is a `hidden beast` number, since 526 + 8 + 8 + 37 + 9 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54485949 + ... + 54486915.

It is an arithmetic number, because the mean of its divisors is an integer number (246029784).

Almost surely, 2^52688379744 is an apocalyptic number.

52688379744 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 52688379744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106284866688).

52688379744 is an abundant number, since it is smaller than the sum of its proper divisors (159881353632).

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

52688379744 is a wasteful number, since it uses less digits than its factorization.

52688379744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1003 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 52688379744 in words is "fifty-two billion, six hundred eighty-eight million, three hundred seventy-nine thousand, seven hundred forty-four".