51151151051568 has 160 divisors (see below), whose sum is σ = 148784591313600. Its totient is φ = 16823855001600.

The previous prime is 51151151051557. The next prime is 51151151051587. The reversal of 51151151051568 is 86515015115115.

51151151051568 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 115 + 10 + 515 + 6 + 8 = 666.

It is a super-2 number, since 2×51151151051568² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 9094498 + ... + 13601918.

It is an arithmetic number, because the mean of its divisors is an integer number (929903695710).

Almost surely, 2^{51151151051568} 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 51151151051568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74392295656800).

51151151051568 is an abundant number, since it is smaller than the sum of its proper divisors (97633440262032).

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

51151151051568 is a wasteful number, since it uses less digits than its factorization.

51151151051568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507788 (or 4507776 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 45.

The spelling of 51151151051568 in words is "fifty-one trillion, one hundred fifty-one billion, one hundred fifty-one million, fifty-one thousand, five hundred sixty-eight".