53834837760 has 1152 divisors, whose sum is σ = 223789547520. Its totient is φ = 12124569600.

The previous prime is 53834837731. The next prime is 53834837761. The reversal of 53834837760 is 6773843835.

53834837760 is a `hidden beast` number, since 5 + 38 + 3 + 483 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 53834837697 and 53834837706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53834837761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 410952895 + ... + 410953025.

It is an arithmetic number, because the mean of its divisors is an integer number (194261760).

Almost surely, 2^53834837760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53834837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111894773760).

53834837760 is an abundant number, since it is smaller than the sum of its proper divisors (169954709760).

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

53834837760 is a wasteful number, since it uses less digits than its factorization.

53834837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 53834837760 in words is "fifty-three billion, eight hundred thirty-four million, eight hundred thirty-seven thousand, seven hundred sixty".