53095461120 has 576 divisors, whose sum is σ = 205554451200. Its totient is φ = 13060694016.

The previous prime is 53095461103. The next prime is 53095461121. The reversal of 53095461120 is 2116459035.

53095461120 is a `hidden beast` number, since 5 + 30 + 9 + 5 + 4 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53095461121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36390951 + ... + 36392409.

Almost surely, 2^53095461120 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 53095461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102777225600).

53095461120 is an abundant number, since it is smaller than the sum of its proper divisors (152458990080).

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

53095461120 is an equidigital number, since it uses as much as digits as its factorization.

53095461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 53095461120 in words is "fifty-three billion, ninety-five million, four hundred sixty-one thousand, one hundred twenty".