51071297239872 has 2016 divisors, whose sum is σ = 192649669056000. Its totient is φ = 12646664110080.

The previous prime is 51071297239847. The next prime is 51071297239927. The reversal of 51071297239872 is 27893279217015.

51071297239872 is a `hidden beast` number, since 5 + 107 + 1 + 2 + 9 + 72 + 398 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 124868697204 + ... + 124868697612.

Almost surely, 2^{51071297239872} is an apocalyptic number.

51071297239872 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 51071297239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96324834528000).

51071297239872 is an abundant number, since it is smaller than the sum of its proper divisors (141578371816128).

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

51071297239872 is a wasteful number, since it uses less digits than its factorization.

51071297239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 51071297239872 in words is "fifty-one trillion, seventy-one billion, two hundred ninety-seven million, two hundred thirty-nine thousand, eight hundred seventy-two".