53781129648 has 120 divisors (see below), whose sum is σ = 156107530800. Its totient is φ = 17263852032.

The previous prime is 53781129607. The next prime is 53781129659. The reversal of 53781129648 is 84692118735.

53781129648 is a `hidden beast` number, since 537 + 8 + 1 + 12 + 96 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53781129594 and 53781129603.

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 23 ways as a sum of consecutive naturals, for example, 1607911 + ... + 1641017.

It is an arithmetic number, because the mean of its divisors is an integer number (1300896090).

Almost surely, 2^53781129648 is an apocalyptic number.

53781129648 is a gapful number since it is divisible by the number (58) 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 53781129648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78053765400).

53781129648 is an abundant number, since it is smaller than the sum of its proper divisors (102326401152).

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

53781129648 is a wasteful number, since it uses less digits than its factorization.

53781129648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33539 (or 33530 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 53781129648 in words is "fifty-three billion, seven hundred eighty-one million, one hundred twenty-nine thousand, six hundred forty-eight".