51119050752 has 1248 divisors, whose sum is σ = 206082938880. Its totient is φ = 12262440960.

The previous prime is 51119050739. The next prime is 51119050777. The reversal of 51119050752 is 25705091115.

51119050752 is a `hidden beast` number, since 5 + 1 + 11 + 90 + 507 + 52 = 666.

It is a super-2 number, since 2×51119050752² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1762725874 + ... + 1762725902.

It is an arithmetic number, because the mean of its divisors is an integer number (165130560).

Almost surely, 2^51119050752 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 51119050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103041469440).

51119050752 is an abundant number, since it is smaller than the sum of its proper divisors (154963888128).

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

51119050752 is a wasteful number, since it uses less digits than its factorization.

51119050752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 36.

The spelling of 51119050752 in words is "fifty-one billion, one hundred nineteen million, fifty thousand, seven hundred fifty-two".