51030288540 has 1296 divisors, whose sum is σ = 218557108224. Its totient is φ = 9514713600.

The previous prime is 51030288523. The next prime is 51030288541. The reversal of 51030288540 is 4588203015.

It is a happy number.

51030288540 is a `hidden beast` number, since 5 + 1 + 0 + 30 + 2 + 88 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51030288495 and 51030288504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51030288541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1085750797 + ... + 1085750843.

It is an arithmetic number, because the mean of its divisors is an integer number (168639744).

Almost surely, 2^51030288540 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 51030288540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278554112).

51030288540 is an abundant number, since it is smaller than the sum of its proper divisors (167526819684).

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

51030288540 is a wasteful number, since it uses less digits than its factorization.

51030288540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 51030288540 in words is "fifty-one billion, thirty million, two hundred eighty-eight thousand, five hundred forty".