53114129734080 has 1344 divisors, whose sum is σ = 193348320399360. Its totient is φ = 12322558771200.

The previous prime is 53114129734079. The next prime is 53114129734103. The reversal of 53114129734080 is 8043792141135.

It is a super-2 number, since 2×53114129734080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16297675491 + ... + 16297678749.

It is an arithmetic number, because the mean of its divisors is an integer number (143860357440).

Almost surely, 2^{53114129734080} 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 53114129734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96674160199680).

53114129734080 is an abundant number, since it is smaller than the sum of its proper divisors (140234190665280).

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

53114129734080 is a wasteful number, since it uses less digits than its factorization.

53114129734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 53114129734080 in words is "fifty-three trillion, one hundred fourteen billion, one hundred twenty-nine million, seven hundred thirty-four thousand, eighty".