53045763693120 has 2688 divisors, whose sum is σ = 222928250388480. Its totient is φ = 11879239680000.

The previous prime is 53045763693119. The next prime is 53045763693127. The reversal of 53045763693120 is 2139636754035.

53045763693120 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 576 + 3 + 69 + 3 + 1 + 2 + 0 = 666.

53045763693120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (53045763693127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 77665832299 + ... + 77665832981.

It is an arithmetic number, because the mean of its divisors is an integer number (82934616960).

Almost surely, 2^{53045763693120} 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 53045763693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111464125194240).

53045763693120 is an abundant number, since it is smaller than the sum of its proper divisors (169882486695360).

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

53045763693120 is a wasteful number, since it uses less digits than its factorization.

53045763693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 53045763693120 in words is "fifty-three trillion, forty-five billion, seven hundred sixty-three million, six hundred ninety-three thousand, one hundred twenty".