51742118304 has 288 divisors, whose sum is σ = 160569864000. Its totient is φ = 16366178304.

The previous prime is 51742118303. The next prime is 51742118377. The reversal of 51742118304 is 40381124715.

51742118304 is a `hidden beast` number, since 51 + 7 + 421 + 183 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51742118303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13302792 + ... + 13306680.

It is an arithmetic number, because the mean of its divisors is an integer number (557534250).

Almost surely, 2^51742118304 is an apocalyptic number.

51742118304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51742118304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80284932000).

51742118304 is an abundant number, since it is smaller than the sum of its proper divisors (108827745696).

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

51742118304 is a wasteful number, since it uses less digits than its factorization.

51742118304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 51742118304 in words is "fifty-one billion, seven hundred forty-two million, one hundred eighteen thousand, three hundred four".