51735375120 has 960 divisors, whose sum is σ = 211743590400. Its totient is φ = 10293903360.

The previous prime is 51735375113. The next prime is 51735375127. The reversal of 51735375120 is 2157353715.

It is an interprime number because it is at equal distance from previous prime (51735375113) and next prime (51735375127).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (51735375127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144109501 + ... + 144109859.

It is an arithmetic number, because the mean of its divisors is an integer number (220566240).

Almost surely, 2^51735375120 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 51735375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105871795200).

51735375120 is an abundant number, since it is smaller than the sum of its proper divisors (160008215280).

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

51735375120 is a wasteful number, since it uses less digits than its factorization.

51735375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 39.

The spelling of 51735375120 in words is "fifty-one billion, seven hundred thirty-five million, three hundred seventy-five thousand, one hundred twenty".