51578084144 has 80 divisors (see below), whose sum is σ = 102488574240. Its totient is φ = 25137960960.

The previous prime is 51578084113. The next prime is 51578084161. The reversal of 51578084144 is 44148087515.

It is a super-3 number, since 3×51578084144³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92599514 + ... + 92600070.

It is an arithmetic number, because the mean of its divisors is an integer number (1281107178).

Almost surely, 2^51578084144 is an apocalyptic number.

It is an amenable number.

51578084144 is a deficient number, since it is larger than the sum of its proper divisors (50910490096).

51578084144 is a wasteful number, since it uses less digits than its factorization.

51578084144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 47.

The spelling of 51578084144 in words is "fifty-one billion, five hundred seventy-eight million, eighty-four thousand, one hundred forty-four".