53675349120 has 288 divisors, whose sum is σ = 188612852220. Its totient is φ = 14065569792.

The previous prime is 53675349073. The next prime is 53675349173. The reversal of 53675349120 is 2194357635.

53675349120 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 534 + 91 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45717281856 + 7958067264 = 213816^2 + 89208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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 35 ways as a sum of consecutive naturals, for example, 20049222 + ... + 20051898.

Almost surely, 2^53675349120 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 53675349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94306426110).

53675349120 is an abundant number, since it is smaller than the sum of its proper divisors (134937503100).

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

53675349120 is a wasteful number, since it uses less digits than its factorization.

53675349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 53675349120 in words is "fifty-three billion, six hundred seventy-five million, three hundred forty-nine thousand, one hundred twenty".