53761310299872 has 768 divisors, whose sum is σ = 183745122140160. Its totient is φ = 14976464025600.

The previous prime is 53761310299843. The next prime is 53761310299883. The reversal of 53761310299872 is 27899201316735.

53761310299872 is a `hidden beast` number, since 5 + 3 + 7 + 613 + 1 + 0 + 2 + 9 + 9 + 8 + 7 + 2 = 666.

53761310299872 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 (63).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 27841174747 + ... + 27841176677.

It is an arithmetic number, because the mean of its divisors is an integer number (239251461120).

Almost surely, 2^{53761310299872} 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 53761310299872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91872561070080).

53761310299872 is an abundant number, since it is smaller than the sum of its proper divisors (129983811840288).

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

53761310299872 is a wasteful number, since it uses less digits than its factorization.

53761310299872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 53761310299872 in words is "fifty-three trillion, seven hundred sixty-one billion, three hundred ten million, two hundred ninety-nine thousand, eight hundred seventy-two".