51140628072 has 256 divisors, whose sum is σ = 149202950400. Its totient is φ = 16215552000.

The previous prime is 51140628059. The next prime is 51140628073. The reversal of 51140628072 is 27082604115.

51140628072 is a `hidden beast` number, since 511 + 4 + 0 + 62 + 80 + 7 + 2 = 666.

It is a super-3 number, since 3×51140628072³ (a number of 33 digits) contains 333 as substring.

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 (51140628073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74009247 + ... + 74009937.

It is an arithmetic number, because the mean of its divisors is an integer number (582824025).

Almost surely, 2^51140628072 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 51140628072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74601475200).

51140628072 is an abundant number, since it is smaller than the sum of its proper divisors (98062322328).

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

51140628072 is a wasteful number, since it uses less digits than its factorization.

51140628072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

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

The spelling of 51140628072 in words is "fifty-one billion, one hundred forty million, six hundred twenty-eight thousand, seventy-two".