53882127936 has 980 divisors, whose sum is σ = 206846713052. Its totient is φ = 13826598912.

The previous prime is 53882127913. The next prime is 53882127947. The reversal of 53882127936 is 63972128835.

53882127936 is a `hidden beast` number, since 538 + 8 + 2 + 1 + 2 + 79 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28677390336 + 25204737600 = 169344^2 + 158760^2 .

It is a super-2 number, since 2×53882127936² (a number of 22 digits) contains 22 as substring.

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

Its product of digits (4354560) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1456273710 + ... + 1456273746.

Almost surely, 2^53882127936 is an apocalyptic number.

53882127936 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 53882127936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103423356526).

53882127936 is an abundant number, since it is smaller than the sum of its proper divisors (152964585116).

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

53882127936 is an frugal number, since it uses more digits than its factorization.

53882127936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 62 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 53882127936 in words is "fifty-three billion, eight hundred eighty-two million, one hundred twenty-seven thousand, nine hundred thirty-six".