51607071120 has 120 divisors (see below), whose sum is σ = 175847995008. Its totient is φ = 12510798080.

The previous prime is 51607071023. The next prime is 51607071151. The reversal of 51607071120 is 2117070615.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×51607071120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859512 + ... + 917591.

Almost surely, 2^51607071120 is an apocalyptic number.

It is an amenable number.

51607071120 is an abundant number, since it is smaller than the sum of its proper divisors (124240923888).

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

51607071120 is a wasteful number, since it uses less digits than its factorization.

51607071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777141 (or 1777124 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The spelling of 51607071120 in words is "fifty-one billion, six hundred seven million, seventy-one thousand, one hundred twenty".