51012619789824 has 800 divisors, whose sum is σ = 190668662781696. Its totient is φ = 13191473479680.

The previous prime is 51012619789819. The next prime is 51012619789903. The reversal of 51012619789824 is 42898791621015.

51012619789824 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 2 + 619 + 7 + 8 + 9 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×51012619789824² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 724853902 + ... + 724924274.

Almost surely, 2^{51012619789824} is an apocalyptic number.

51012619789824 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 51012619789824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95334331390848).

51012619789824 is an abundant number, since it is smaller than the sum of its proper divisors (139656042991872).

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

51012619789824 is a wasteful number, since it uses less digits than its factorization.

51012619789824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70648 (or 70623 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 51012619789824 in words is "fifty-one trillion, twelve billion, six hundred nineteen million, seven hundred eighty-nine thousand, eight hundred twenty-four".