51003852611712 has 1536 divisors, whose sum is σ = 186066567590400. Its totient is φ = 12116135116800.

The previous prime is 51003852611687. The next prime is 51003852611713. The reversal of 51003852611712 is 21711625830015.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (51003852611713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97896070012 + ... + 97896070532.

It is an arithmetic number, because the mean of its divisors is an integer number (121137088275).

Almost surely, 2^{51003852611712} is an apocalyptic number.

51003852611712 is a gapful number since it is divisible by the number (52) 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 51003852611712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93033283795200).

51003852611712 is an abundant number, since it is smaller than the sum of its proper divisors (135062714978688).

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

51003852611712 is a wasteful number, since it uses less digits than its factorization.

51003852611712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 51003852611712 in words is "fifty-one trillion, three billion, eight hundred fifty-two million, six hundred eleven thousand, seven hundred twelve".