51794709120 has 1536 divisors, whose sum is σ = 239108889600. Its totient is φ = 10474168320.

The previous prime is 51794709097. The next prime is 51794709133. The reversal of 51794709120 is 2190749715.

51794709120 is a `hidden beast` number, since 5 + 1 + 79 + 470 + 91 + 20 = 666.

It is a super-2 number, since 2×51794709120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 624032599 + ... + 624032681.

It is an arithmetic number, because the mean of its divisors is an integer number (155669850).

Almost surely, 2^51794709120 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 51794709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119554444800).

51794709120 is an abundant number, since it is smaller than the sum of its proper divisors (187314180480).

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

51794709120 is a wasteful number, since it uses less digits than its factorization.

51794709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 51794709120 in words is "fifty-one billion, seven hundred ninety-four million, seven hundred nine thousand, one hundred twenty".