51653323429792 has 144 divisors (see below), whose sum is σ = 117178438104000. Its totient is φ = 21955974690816.

The previous prime is 51653323429787. The next prime is 51653323429793. The reversal of 51653323429792 is 29792432335615.

It is a super-3 number, since 3×51653323429792³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51653323429792.

It is not an unprimeable number, because it can be changed into a prime (51653323429793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2969767848 + ... + 2969785240.

It is an arithmetic number, because the mean of its divisors is an integer number (813739153500).

Almost surely, 2^{51653323429792} 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 51653323429792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58589219052000).

51653323429792 is an abundant number, since it is smaller than the sum of its proper divisors (65525114674208).

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

51653323429792 is a wasteful number, since it uses less digits than its factorization.

51653323429792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18235 (or 18064 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 61.

The spelling of 51653323429792 in words is "fifty-one trillion, six hundred fifty-three billion, three hundred twenty-three million, four hundred twenty-nine thousand, seven hundred ninety-two".