53118915840 has 432 divisors, whose sum is σ = 192634670592. Its totient is φ = 13488685056.

The previous prime is 53118915823. The next prime is 53118915851. The reversal of 53118915840 is 4851981135.

53118915840 is a `hidden beast` number, since 53 + 1 + 18 + 9 + 1 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114727449 + ... + 114727911.

Almost surely, 2^53118915840 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 53118915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96317335296).

53118915840 is an abundant number, since it is smaller than the sum of its proper divisors (139515754752).

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

53118915840 is a wasteful number, since it uses less digits than its factorization.

53118915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 53118915840 in words is "fifty-three billion, one hundred eighteen million, nine hundred fifteen thousand, eight hundred forty".